Metrics for Henrywood and Agarwal, Equation (9a)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze686.0ms (3.7%)

Memory

12.2MiB live, 565.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
0%	0%	99.7%	0.3%	0%	0%	0%	1
0%	0%	99.7%	0.3%	0%	0%	0%	2
0%	0%	99.7%	0.3%	0%	0%	0%	3
0%	0%	99.7%	0.3%	0%	0%	0%	4
0%	0%	99.7%	0.3%	0%	0%	0%	5
0%	0%	99.7%	0.3%	0%	0%	0%	6
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	7
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	8
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	9
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	10
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	11
18.8%	18.7%	81%	0.3%	0%	0%	0%	12

Compiler

Compiled 20 to 19 computations (5% saved)

sample1.9s (10%)

Memory

60.4MiB live, 3 044.0MiB allocated

Samples

955.0ms	8 256×	0	valid
356.0ms	2 757×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 895.0ms

ival-mult: 397.0ms (44.4% of total)

ival-div: 200.0ms (22.3% of total)

ival-pow2: 127.0ms (14.2% of total)

ival-sqrt: 74.0ms (8.3% of total)

ival-sub: 72.0ms (8% of total)

exact: 11.0ms (1.2% of total)

ival-true: 8.0ms (0.9% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain195.0ms (1%)

Memory

4.9MiB live, 369.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
45	-	4	(7.506592264354057e-283 9.259545850400722e-175 -1.9838862388922516e+110 2.2864152371549535e-224 -5.439286499327336e+93 1.174551895538781e-146)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
25	-	0	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
19	-	2	(-4.151950059050718e+70 -3.267515217191058e-88 -2.1334256112021448e-234 -2.0146147591765888e-257 -3.8563781817010575e-44 1.1524054412889394e-286)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
6	-	0	-	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`w0`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`M`
0	-	0	-	`h`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	oflow-rescue	25	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	47
↳	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`	overflow	50
↳	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	overflow	25
↳	`(*.f64 M D)`	overflow	16
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	20
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	50
↳	`(/.f64 h l)`	overflow	32
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	9	0
`*.f64`	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`	*no**	6	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	4	0
↳	`(*.f64 M D)`	overflow	16
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	113
↳	`(*.f64 M D)`	underflow	39
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	59
↳	`(/.f64 h l)`	overflow	32
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	47
↳	`(*.f64 M D)`	overflow	16
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	20
↳	`(/.f64 h l)`	underflow	25
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	39

Confusion

	Predicted +	Predicted -
+	38	12
-	8	198

Precision

0.8260869565217391

Recall

0.76

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	12
-	8	0	198

Precision?

0.8260869565217391

Recall?

0.76

Freqs

test

number	freq
0	210
1	42
2	4

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

56.0ms

512×

valid

Compiler

Compiled 218 to 55 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 12.0ms (37.3% of total)

ival-div: 8.0ms (24.9% of total)

ival-pow2: 5.0ms (15.5% of total)

ival-sqrt: 3.0ms (9.3% of total)

ival-sub: 2.0ms (6.2% of total)

exact: 1.0ms (3.1% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess190.0ms (1%)

Memory

10.7MiB live, 244.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 232×	`lower-*.f32`
5 224×	`lower-*.f64`
5 184×	`lower-/.f32`
5 180×	`lower-/.f64`
1 444×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	501
1	520	492
2	1570	492
3	4468	492
0	17	18
0	26	18
1	47	18
2	115	18
3	826	18
4	4554	18
5	7862	18
0	8022	18

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Outputs

(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))

Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify176.0ms (0.9%)

Memory

-14.5MiB live, 187.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
cost-diff	5504	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Rules

5 232×	`lower-*.f32`
5 224×	`lower-*.f64`
5 184×	`lower-/.f32`
5 180×	`lower-/.f64`
1 444×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	95
1	47	95
2	115	95
3	826	95
4	4554	95
5	7862	95
0	8022	95

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
#s(literal 1 binary64)
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h (neg.f64 l)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal 4 binary64))) h) l)
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

localize41.0ms (0.2%)

Memory

20.1MiB live, 58.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.4390782188694884	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy	4.094026267449925	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	5.89674821344114	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy	9.794441340799686	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

27.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (41.1% of total)

ival-div: 3.0ms (20.5% of total)

ival-sqrt: 2.0ms (13.7% of total)

ival-pow2: 2.0ms (13.7% of total)

ival-sub: 1.0ms (6.8% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series97.0ms (0.5%)

Memory

-2.5MiB live, 83.4MiB allocated

Counts

6 → 324

Calls

Call 1

Inputs
#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (patch (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) (patch (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) (patch (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())

Calls

81 calls:

Time	Variable		Point	Expression
21.0ms	h	@	-inf	(- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))
12.0ms	d	@	inf	(pow (/ (* M D) (* 2 d)) 2)
4.0ms	l	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
3.0ms	w0	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))
3.0ms	M	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))

simplify340.0ms (1.8%)

Memory

14.0MiB live, 322.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 592×	`lower-*.f64`
10 592×	`lower-*.f32`
8 912×	`lower-fma.f64`
8 912×	`lower-fma.f32`
2 750×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	628	8158
1	2189	8136
0	8486	7930

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 317

Calls

Call 1

Inputs
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))

Outputs
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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w0
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w0
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w0
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(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 (*.f64 d d) l))
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)
(* 1/2 (/ (* D M) d))
(/.f64 (.f64 (.f64 D M) #s(literal 1/2 binary64)) d)

rewrite368.0ms (2%)

Memory

-4.4MiB live, 228.1MiB allocated

Rules

5 804×	`lower-*.f32`
5 796×	`lower-*.f64`
4 036×	`lower-fma.f64`
4 036×	`lower-fma.f32`
3 008×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	78
0	26	78
1	82	78
2	550	78
3	7073	78
0	8661	78

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 689

Calls

Call 1

Inputs
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Outputs
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)))))
(exp.f64 (log.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (.f64 M D) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))
(/.f64 (.f64 M D) (neg.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 D (neg.f64 M)))))
(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (.f64 M D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M (.f64 D (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 d d)) (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 (.f64 (*.f64 D (neg.f64 M)) D) M)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D)))) (.f64 M (*.f64 D #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d #s(literal -2 binary64))) (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 D (neg.f64 M))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d d) (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) d) (/.f64 (.f64 M (.f64 D (.f64 M D))) (*.f64 #s(literal 2 binary64) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d #s(literal -2 binary64)) (/.f64 (.f64 M (.f64 D (.f64 M D))) (*.f64 d #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) d)))
(/.f64 (.f64 D (neg.f64 M)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 D (neg.f64 M))))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 d (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (.f64 M D))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D))) (.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (neg.f64 (.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 D (neg.f64 M)))) (.f64 d (.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 d d)))
(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 d d))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (.f64 d (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))))))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) (neg.f64 d)))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 d (.f64 M D))))
(/.f64 (/.f64 (.f64 (.f64 M D) M) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 #s(literal 2 binary64) d) D))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))
(/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) (.f64 M D)))
(/.f64 (.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) (/.f64 #s(literal 2 binary64) M))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal -2 binary64)))
(/.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) d) d)
(/.f64 (/.f64 (.f64 M D) d) (.f64 (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 D (neg.f64 M))))) (neg.f64 (.f64 d (.f64 d #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) d)) (neg.f64 d))
(/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 d M)) (/.f64 #s(literal 2 binary64) D))
(/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 2 binary64) D)) (/.f64 d M))
(/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 d (*.f64 M D)))
(/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) d) (/.f64 #s(literal 2 binary64) (*.f64 M D)))
(/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) D) d)
(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 D (neg.f64 M)) D) M)) (neg.f64 (.f64 (.f64 d d) #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (.f64 D (neg.f64 M))))) (.f64 d (*.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) (*.f64 d d)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))
(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (*.f64 M D) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (.f64 (.f64 M D) M) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) d) D))
(/.f64 (.f64 (/.f64 (.f64 (.f64 M D) M) (.f64 #s(literal 2 binary64) d)) (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64)) (.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (neg.f64 D)) (neg.f64 d))
(/.f64 (.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d))) (neg.f64 d))
(/.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64))
(/.f64 (.f64 M (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 D d))) #s(literal 2 binary64))
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(.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (/.f64 D d) (/.f64 l h)))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h)
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) l) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 M l) (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M D) l) (/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) l) (/.f64 (.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M M) l) (/.f64 (/.f64 (.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) l) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (/.f64 (.f64 (/.f64 D d) D) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (/.f64 (.f64 (.f64 M D) M) (.f64 #s(literal 2 binary64) d)) l) (/.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (*.f64 #s(literal 2 binary64) d)) l) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 h l)))
(.f64 (/.f64 (neg.f64 h) #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) l))
(.f64 (.f64 (/.f64 h l) M) (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 D #s(literal 1/2 binary64)) d)))
(.f64 (.f64 (/.f64 h l) (.f64 M D)) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 (/.f64 h l) (.f64 M #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 D d)))
(.f64 (.f64 (/.f64 h l) (.f64 M M)) (/.f64 (.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) D) (.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 (/.f64 h l) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 (*.f64 (/.f64 D d) D) d))
(.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 M D) M) (.f64 #s(literal 2 binary64) d))) (/.f64 (.f64 D #s(literal 1/2 binary64)) d))
(.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 2 binary64) d))) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (.f64 (/.f64 h l) (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) M) (/.f64 (.f64 D #s(literal 1/2 binary64)) d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) D) (/.f64 (.f64 M #s(literal 1/2 binary64)) d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (.f64 M D)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64)) (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (.f64 D (neg.f64 M))) (/.f64 #s(literal -1/2 binary64) d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (.f64 M #s(literal 1/2 binary64))) (/.f64 D d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (/.f64 D d)) (.f64 M #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (/.f64 #s(literal 1/2 binary64) d)) (.f64 M D))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (.f64 M (*.f64 D #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (/.f64 (.f64 D #s(literal 1/2 binary64)) d)) M)
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (/.f64 M d)) (.f64 D #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)))) (sqrt.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 h l))
(.f64 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (neg.f64 l)) (neg.f64 h))
(exp.f64 (log.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))))
(neg.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))))
(neg.f64 (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 M (/.f64 (*.f64 #s(literal 2 binary64) d) D))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 M D) d)))
(/.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 M D)))
(/.f64 (.f64 D (neg.f64 M)) (.f64 d #s(literal -2 binary64)))
(/.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 d D))
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M))
(/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) (*.f64 M D)))
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) d)
(/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (neg.f64 (neg.f64 d)))
(/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (/.f64 d (.f64 M D))))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (neg.f64 d))
(/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D))
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M))
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 2 binary64) (*.f64 M D)))
(/.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64))
(/.f64 (exp.f64 (log.f64 (.f64 M D))) (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) d))))
(/.f64 (exp.f64 (log.f64 (.f64 D (neg.f64 M)))) (exp.f64 (log.f64 (.f64 d #s(literal -2 binary64)))))
(/.f64 (exp.f64 (log.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))))) (exp.f64 (log.f64 d)))
(/.f64 (neg.f64 (/.f64 (*.f64 M D) d)) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 D (neg.f64 M)) d) #s(literal -2 binary64))
(/.f64 (/.f64 (.f64 D (neg.f64 M)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 #s(literal 1 binary64) M) (/.f64 (.f64 #s(literal 2 binary64) d) D))
(/.f64 (*.f64 (/.f64 D d) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) M))
(/.f64 (.f64 M #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) d) D))
(/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 M D)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 M D) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 (/.f64 D d) (neg.f64 M)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 M) (/.f64 D d)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 D (neg.f64 M)) (/.f64 #s(literal 1 binary64) d)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (*.f64 M D) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 d))
(/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(pow.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (/.f64 d (.f64 M D))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64))
(.f64 M (/.f64 (.f64 D #s(literal 1/2 binary64)) d))
(.f64 M (.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) d) #s(literal 1 binary64)))
(.f64 M (.f64 #s(literal 1/2 binary64) (/.f64 D d)))
(.f64 D (/.f64 (.f64 M #s(literal 1/2 binary64)) d))
(.f64 D (.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 M #s(literal 1/2 binary64))))
(.f64 D (.f64 (neg.f64 M) (/.f64 #s(literal -1/2 binary64) d)))
(.f64 D (.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) d)))
(.f64 D (.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) d) #s(literal 1 binary64)))
(.f64 (.f64 M D) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -1 binary64)))
(.f64 (.f64 D (neg.f64 M)) (/.f64 #s(literal -1/2 binary64) d))
(.f64 (.f64 D (neg.f64 M)) (*.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d))
(.f64 (.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1 binary64)))
(.f64 (/.f64 D d) (.f64 M #s(literal 1/2 binary64)))
(.f64 (/.f64 D d) (.f64 (*.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 M D))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M D)) #s(literal -1 binary64)))
(.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) d))
(.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) M)
(.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) (*.f64 M #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))))
(.f64 (.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(.f64 (neg.f64 D) (.f64 M (/.f64 #s(literal -1/2 binary64) d)))
(.f64 (neg.f64 D) (/.f64 M (.f64 d #s(literal -2 binary64))))
(.f64 (neg.f64 M) (/.f64 D (.f64 d #s(literal -2 binary64))))
(.f64 (neg.f64 M) (.f64 D (/.f64 #s(literal -1/2 binary64) d)))
(.f64 (/.f64 M d) (.f64 D #s(literal 1/2 binary64)))
(.f64 (/.f64 M d) (.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 M d))
(.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1/2 binary64) d) (.f64 D (neg.f64 M)))
(.f64 (/.f64 #s(literal 1 binary64) d) (.f64 M (*.f64 D #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) (sqrt.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d))))
(.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) (.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) D)
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) (neg.f64 d)))
(.f64 (pow.f64 D #s(literal 1 binary64)) (pow.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) d) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 D (neg.f64 M)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 M d) #s(literal 1 binary64)) (pow.f64 (.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 M d) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 d M) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)))
(.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d))))
(.f64 (exp.f64 (log.f64 (.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) d)))))
(.f64 (exp.f64 (log.f64 (.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d))))
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M (neg.f64 d)))
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D (neg.f64 d)))
(.f64 (/.f64 #s(literal -1 binary64) d) (.f64 (*.f64 M D) #s(literal -1/2 binary64)))
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (neg.f64 M) #s(literal 2 binary64)))
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (neg.f64 M) d))
(.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (neg.f64 D) (.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 (neg.f64 D) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (neg.f64 D) d))
(.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (neg.f64 M) (.f64 #s(literal 2 binary64) d)))
(.f64 (/.f64 (neg.f64 D) #s(literal -1 binary64)) (/.f64 (.f64 M #s(literal 1/2 binary64)) d))
(.f64 (/.f64 (neg.f64 M) #s(literal -1 binary64)) (/.f64 (.f64 D #s(literal 1/2 binary64)) d))
(.f64 (.f64 #s(literal 1 binary64) M) (/.f64 (*.f64 D #s(literal 1/2 binary64)) d))
(.f64 (.f64 #s(literal 1 binary64) D) (/.f64 (*.f64 M #s(literal 1/2 binary64)) d))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)))) (sqrt.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))))

eval343.0ms (1.8%)

Memory: 13.3MiB live, 251.1MiB allocated
Compiler: Compiled 31 317 to 4 375 computations (86% saved)

prune427.0ms (2.3%)

Memory

-61.5MiB live, 297.6MiB allocated

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	982	24	1 006
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	983	24	1 007

Accuracy

90.4%

Counts

1 007 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.1%	(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))) w0)
	68.9%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
▶	89.2%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
▶	65.1%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
	68.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))
	79.9%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
▶	86.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
	83.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
▶	76.9%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
	71.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -2 binary64))) (.f64 (/.f64 l h) (*.f64 d #s(literal -2 binary64)))))))
	66.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) (.f64 d d)))))))
	80.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (/.f64 l h) (.f64 d (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))))))
	73.9%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))))
	67.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (/.f64 #s(literal 1 binary64) h))))))
	79.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) l) (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))))
	71.0%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) d) (/.f64 M (/.f64 #s(literal 2 binary64) (*.f64 M D)))) (/.f64 h l)))))
	65.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64)))) (/.f64 h l)))))
	72.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
	79.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 M D) (/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 #s(literal 2 binary64) d)) (/.f64 l h))))))
	54.7%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
	11.8%	(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
	54.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
▶	69.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	54.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))

Compiler

Compiled 1 354 to 886 computations (34.6% saved)

simplify206.0ms (1.1%)

Memory

20.2MiB live, 250.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
cost-diff	384	(fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))
cost-diff	512	(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
cost-diff	0	(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
cost-diff	384	(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
cost-diff	0	(/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64)))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
cost-diff	384	(fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
cost-diff	0	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
cost-diff	384	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l)
cost-diff	384	(fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
cost-diff	1088	(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))

Rules

8 890×	`lower-*.f32`
8 856×	`lower-*.f64`
2 190×	`lower-/.f32`
2 170×	`lower-/.f64`
1 588×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	499
0	101	504
1	217	488
2	785	457
3	5799	457
0	8575	454

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l)
(/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
l
(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(literal 1 binary64)
h
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(.f64 (.f64 (*.f64 D (neg.f64 M)) D) M)
(.f64 (.f64 D (neg.f64 M)) D)
(*.f64 D (neg.f64 M))
D
(neg.f64 M)
M
(.f64 (.f64 d d) #s(literal 4 binary64))
(*.f64 d d)
d
#s(literal 4 binary64)
(/.f64 h l)
h
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 D d)
D
d
(.f64 (.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
M
#s(literal 1/4 binary64)
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
(neg.f64 (/.f64 h l))
(/.f64 h l)
h
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
(/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
(.f64 (.f64 M D) h)
h
(neg.f64 l)
l
#s(literal 1 binary64)

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 (.f64 d #s(literal 2 binary64)) (.f64 d (.f64 #s(literal -2 binary64) l)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 (.f64 d #s(literal 2 binary64)) (.f64 d (*.f64 #s(literal -2 binary64) l)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 (.f64 d #s(literal 2 binary64)) (.f64 d (*.f64 #s(literal -2 binary64) l)))) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l)
(/.f64 (.f64 M D) (.f64 d (*.f64 #s(literal -2 binary64) l)))
(/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64)))
(*.f64 M D)
M
D
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
l
(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 M (.f64 D h)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) h)
#s(literal 1 binary64)
h
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
w0
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 (.f64 M D) M) D)) (/.f64 h (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 (.f64 M D) M) D)) (/.f64 h (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 (.f64 M D) M) D)) (/.f64 h (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 M D) M) D) (.f64 d (*.f64 d #s(literal 4 binary64)))))
(.f64 (.f64 (*.f64 D (neg.f64 M)) D) M)
(neg.f64 (.f64 (.f64 (*.f64 M D) M) D))
(.f64 (.f64 D (neg.f64 M)) D)
(neg.f64 (.f64 D (.f64 M D)))
(*.f64 D (neg.f64 M))
(neg.f64 (*.f64 M D))
D
(neg.f64 M)
M
(.f64 (.f64 d d) #s(literal 4 binary64))
(.f64 d (.f64 d #s(literal 4 binary64)))
(*.f64 d d)
d
#s(literal 4 binary64)
(/.f64 h l)
h
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (.f64 (/.f64 h (.f64 d l)) D))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 M (.f64 M #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (.f64 (/.f64 h (*.f64 d l)) D))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
(fma.f64 (.f64 M (.f64 M #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (.f64 (/.f64 h (*.f64 d l)) D))) #s(literal 1 binary64))
(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 M D) M)) d)
(/.f64 D d)
D
d
(.f64 (.f64 M M) #s(literal 1/4 binary64))
(.f64 M (.f64 M #s(literal 1/4 binary64)))
(*.f64 M M)
M
#s(literal 1/4 binary64)
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
(neg.f64 (.f64 (/.f64 h (.f64 d l)) D))
(neg.f64 (/.f64 h l))
(/.f64 h (neg.f64 l))
(/.f64 h l)
h
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 (.f64 d #s(literal 2 binary64)) (.f64 d (.f64 #s(literal -2 binary64) l)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 (.f64 d #s(literal 2 binary64)) (.f64 d (*.f64 #s(literal -2 binary64) l)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))
(fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 (.f64 d #s(literal 2 binary64)) (.f64 d (*.f64 #s(literal -2 binary64) l)))) #s(literal 1 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
d
(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
(.f64 (/.f64 (.f64 M D) (.f64 d (.f64 #s(literal -2 binary64) l))) h)
(/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 M (.f64 D h)) (*.f64 d #s(literal 2 binary64)))
(.f64 (.f64 M D) h)
(.f64 M (.f64 D h))
h
(neg.f64 l)
l
#s(literal 1 binary64)

localize234.0ms (1.3%)

Memory

-10.9MiB live, 235.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	4.342785986048511	(.f64 (.f64 M D) h)
accuracy	4.452570468114588	(/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
accuracy	5.415931872563881	(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
accuracy	5.89674821344114	(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
accuracy	4.9928199202962	(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
accuracy	5.89674821344114	(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
accuracy	7.639999197916478	(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
accuracy	10.473767405522151	(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy	3.397151013031377	(.f64 (.f64 (*.f64 D (neg.f64 M)) D) M)
accuracy	5.89674821344114	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)))
accuracy	6.201525270657553	(fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))
accuracy	14.068677900894007	(/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64)))
accuracy	1.4390782188694884	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy	19.5739671962518	#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy	4.094026267449926	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
accuracy	4.117683429431963	(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l)
accuracy	5.373595928414698	(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
accuracy	5.89674821344114	(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))

Samples

130.0ms

256×

valid

Compiler

Compiled 509 to 60 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 31.0ms (34.9% of total)

ival-sqrt: 31.0ms (34.9% of total)

ival-div: 16.0ms (18% of total)

ival-add: 4.0ms (4.5% of total)

ival-neg: 3.0ms (3.4% of total)

ival-pow2: 2.0ms (2.3% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series265.0ms (1.4%)

Memory

-14.8MiB live, 184.5MiB allocated

Counts

24 → 1 320

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (patch (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (patch (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) (patch #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) (patch (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) (patch (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (patch (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (patch (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ())
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#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (.f64 (.f64 M D) h) (patch (.f64 (.f64 M D) h) #<representation binary64>) () ())) ())

Calls

330 calls:

Time	Variable		Point	Expression
49.0ms	h	@	0	(/ (/ (* (* M D) h) (* 2 d)) (neg l))
20.0ms	M	@	0	(/ (/ (* M D) (* d -2)) l)
7.0ms	d	@	inf	(/ (/ (* M D) (* 2 d)) (/ 1 h))
1.0ms	M	@	0	(/ (/ (* M D) (* 2 d)) (/ 1 h))
1.0ms	D	@	0	(/ (/ (* M D) (* 2 d)) (/ 1 h))

simplify466.0ms (2.5%)

Memory

73.9MiB live, 833.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 384×	`lower-*.f64`
10 384×	`lower-*.f32`
8 438×	`lower-fma.f64`
8 438×	`lower-fma.f32`
2 728×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	647	34758
1	2252	34558
0	8103	33498

Stop Event

1×	iter limit
1×	node limit

Counts

1 320 → 1 285

Calls

Call 1

Inputs
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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w0
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
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(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
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1
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(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
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1
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1
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
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(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* -1 (* (pow D 2) (pow M 2)))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))

Outputs
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 h (.f64 D D))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 h (*.f64 D M))) d)
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))
(* D (* M h))
(.f64 h (.f64 D M))

rewrite275.0ms (1.5%)

Memory

-31.6MiB live, 468.7MiB allocated

Rules

4 218×	`lower-*.f32`
4 186×	`lower-*.f64`
3 730×	`lower-/.f32`
3 710×	`lower-/.f64`
2 894×	`lower-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	389
0	101	382
1	356	335
2	3488	321
0	8630	321

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

24 → 886

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h))
(fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(*.f64 (/.f64 D d) (neg.f64 (/.f64 h l)))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))
(/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l))
(fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64)))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(.f64 (.f64 (*.f64 D (neg.f64 M)) D) M)
(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 M D) h) (*.f64 #s(literal 2 binary64) d))
(.f64 (.f64 M D) h)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 D (.f64 M h)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) (*.f64 (log.f64 h) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) h)) (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 D (.f64 M h)) (.f64 d #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) h)) (/.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) (/.f64 #s(literal -1 binary64) h)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h)))) (/.f64 (.f64 M D) (neg.f64 (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) h) (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))))
(neg.f64 (/.f64 (.f64 D (.f64 M h)) (*.f64 d #s(literal -2 binary64))))
(neg.f64 (/.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) (/.f64 #s(literal -1 binary64) h)))
(neg.f64 (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 M D) (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h)))
(/.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) (/.f64 #s(literal 1 binary64) h))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 D (*.f64 M h))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h)) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 D (*.f64 M h))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 d (.f64 (.f64 D (*.f64 M h)) #s(literal 1/2 binary64))))
(/.f64 h (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D)))
(/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) h))
(/.f64 (.f64 D (neg.f64 M)) (neg.f64 (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(/.f64 (.f64 D (neg.f64 M)) (.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 D (*.f64 M h)))))
(/.f64 (neg.f64 (.f64 D (.f64 M h))) (*.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) h) d))
(/.f64 (.f64 (.f64 D (*.f64 M h)) #s(literal 1/2 binary64)) d)
(/.f64 (.f64 (.f64 D (.f64 M h)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (/.f64 (*.f64 d #s(literal -2 binary64)) (neg.f64 h)))
(/.f64 (.f64 (.f64 D (neg.f64 M)) #s(literal 1 binary64)) (.f64 (.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h)))
(/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 d (/.f64 #s(literal 1 binary64) h)))
(/.f64 (neg.f64 (neg.f64 (.f64 D (.f64 M h)))) (*.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 (.f64 (.f64 D (*.f64 M h)) #s(literal 1/2 binary64))) (neg.f64 d))
(/.f64 (.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) h) d)
(/.f64 (.f64 (.f64 M D) (/.f64 h d)) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 M D) (/.f64 #s(literal 1 binary64) h)) (.f64 #s(literal 2 binary64) d))
(/.f64 (/.f64 (.f64 D (.f64 M h)) d) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 D (*.f64 M h))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h)) (.f64 M D)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 D (*.f64 M h))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 d (.f64 (.f64 D (*.f64 M h)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 M (/.f64 (.f64 D h) (*.f64 #s(literal 2 binary64) d)))
(.f64 M (/.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 M (.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) h))
(.f64 M (.f64 D (/.f64 h (*.f64 #s(literal 2 binary64) d))))
(.f64 M (.f64 (*.f64 D h) (/.f64 #s(literal 1/2 binary64) d)))
(.f64 M (/.f64 D (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(.f64 D (.f64 M (/.f64 h (*.f64 #s(literal 2 binary64) d))))
(.f64 D (/.f64 M (/.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 h))))
(.f64 (.f64 M D) (/.f64 h (*.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) h)
(.f64 #s(literal 1 binary64) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)))
(.f64 h (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))))
(.f64 (.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) (neg.f64 h))
(.f64 (.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h)))
(.f64 (.f64 D (*.f64 M h)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 d (.f64 D (*.f64 M h))) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 D (*.f64 M h))) (/.f64 #s(literal -1/2 binary64) d))
(.f64 (/.f64 M d) (/.f64 (.f64 D h) #s(literal 2 binary64)))
(.f64 (/.f64 M d) (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 D h)) #s(literal -1 binary64)))
(.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) (/.f64 h d))
(.f64 (/.f64 h d) (.f64 D (*.f64 M #s(literal 1/2 binary64))))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 D h) d))
(.f64 (.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))
(.f64 (.f64 M #s(literal 1/2 binary64)) (pow.f64 (/.f64 d (*.f64 D h)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) d) (.f64 (.f64 D (.f64 M h)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 D (*.f64 M h)))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 D (*.f64 M h))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 M D) d) (/.f64 h #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 M D) d) (pow.f64 (/.f64 #s(literal 2 binary64) h) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 D (.f64 M h)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) d))
(.f64 (/.f64 h (.f64 #s(literal 2 binary64) d)) (*.f64 M D))
(.f64 (/.f64 M (/.f64 #s(literal 1 binary64) h)) (/.f64 D (.f64 #s(literal 2 binary64) d)))
(.f64 (/.f64 D (/.f64 #s(literal 1 binary64) h)) (/.f64 M (.f64 #s(literal 2 binary64) d)))
(.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M D) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h)))
(.f64 (/.f64 h #s(literal 2 binary64)) (/.f64 (.f64 M D) d))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) h) #s(literal -1 binary64)) (/.f64 (.f64 M D) d))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D (.f64 #s(literal 2 binary64) d))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 D d)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 M D)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 D (neg.f64 M))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) d))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (.f64 D (*.f64 M #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h))
(+.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) D) (.f64 d d))) l))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 h (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) D) (.f64 d d))) (.f64 h (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) D) (.f64 d d)))) (.f64 l l)) (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 h (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) D) (.f64 d d))) l) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) D) (.f64 d d)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h) #s(literal 3 binary64)) (fma.f64 (/.f64 (.f64 h (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) D) (.f64 d d))) l) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) D) (.f64 d d)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) D) (.f64 d d)) (/.f64 h l) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (.f64 h (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) D) (.f64 d d))) (.f64 h (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) D) (.f64 d d)))) (.f64 l l)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) D) (.f64 d d)) (/.f64 h l) #s(literal 1 binary64))))
(fma.f64 M (.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 D (.f64 M h)) (.f64 (.f64 (neg.f64 l) #s(literal 2 binary64)) d))) #s(literal 1 binary64))
(fma.f64 D (.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 (.f64 (.f64 M (.f64 M #s(literal 1/4 binary64))) (/.f64 (.f64 D h) (.f64 d l))))) #s(literal 1 binary64))
(fma.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (.f64 D (.f64 M h)) (.f64 (.f64 (neg.f64 l) #s(literal 2 binary64)) d))) #s(literal 1 binary64))
(fma.f64 (.f64 M D) (/.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 (neg.f64 l) #s(literal 2 binary64)) d)) #s(literal 1 binary64))
(fma.f64 (.f64 M D) (/.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 (.f64 (neg.f64 l) #s(literal 2 binary64)) d)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(fma.f64 (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) (/.f64 (.f64 D (.f64 M h)) (.f64 (.f64 (neg.f64 l) #s(literal 2 binary64)) d)) #s(literal 1 binary64))
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eval596.0ms (3.2%)

Memory: -99.2MiB live, 540.7MiB allocated
Compiler: Compiled 77 255 to 4 132 computations (94.7% saved)

prune610.0ms (3.3%)

Memory

73.6MiB live, 1 154.4MiB allocated

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	2 276	26	2 302
Fresh	15	4	19
Picked	4	1	5
Done	0	0	0
Total	2 295	31	2 326

Accuracy

90.8%

Counts

2 326 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.8%	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
	69.3%	(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
▶	70.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))))
	68.2%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
	78.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) d) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
	70.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) l) (/.f64 #s(literal 1/4 binary64) (.f64 d d)) #s(literal 1 binary64))))
	82.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
	84.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (*.f64 (neg.f64 l) #s(literal 2 binary64)) d))) #s(literal 1 binary64))))
	83.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(approx (/ (/ ( (* M D) h) (* 2 d)) (neg l)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 h (.f64 D M))) (.f64 d l))) #s(literal 1 binary64))))
	80.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 (.f64 (neg.f64 l) #s(literal 2 binary64)) d)) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))))
▶	84.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
	72.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M M)) d) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D h) (.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
	74.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) d) (/.f64 (/.f64 h l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))))
	66.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M #s(literal 1/4 binary64)) (.f64 d d)) (neg.f64 (.f64 (.f64 M D) D))) (/.f64 h l) #s(literal 1 binary64))))
	81.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (neg.f64 M)) d) (/.f64 (.f64 M D) (*.f64 d #s(literal 4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
▶	76.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
	69.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))))
	54.3%	(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* D (neg M)) D) M) (* (* d d) 4)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
	71.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -2 binary64))) (.f64 (/.f64 l h) (*.f64 d #s(literal -2 binary64)))))))
	67.3%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (/.f64 #s(literal 1 binary64) h))))))
▶	65.5%	(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
	68.6%	(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
	59.0%	(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
	59.9%	(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) l) l))))
	42.6%	(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) l) (.f64 d d)) (.f64 d d)))))
	13.9%	(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
	54.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	56.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
✓	69.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	56.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
▶	54.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))

Compiler

Compiled 1 720 to 1 110 computations (35.5% saved)

simplify165.0ms (0.9%)

Memory

-37.1MiB live, 304.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64)))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))))
cost-diff	704	(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))
cost-diff	0	(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
cost-diff	0	(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l))
cost-diff	0	(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
cost-diff	128	(+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
cost-diff	0	(*.f64 D D)
cost-diff	0	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
cost-diff	576	(fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
cost-diff	704	(.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))))

Rules

8 264×	`lower-*.f32`
8 214×	`lower-*.f64`
3 382×	`lower-/.f32`
3 364×	`lower-/.f64`
1 758×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	634
0	119	631
1	259	627
2	961	608
3	5302	608
4	6817	608
0	8064	602

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d))
(.f64 D (.f64 M h))
D
(*.f64 M h)
M
h
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))))
(/.f64 #s(literal -1 binary64) l)
#s(literal -1 binary64)
l
(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
(/.f64 D (*.f64 #s(literal 2 binary64) d))
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(*.f64 D D)
D
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
(.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0))))
#s(literal -1/8 binary64)
(.f64 h (.f64 M (*.f64 M w0)))
h
(.f64 M (.f64 M w0))
M
(*.f64 M w0)
w0
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l))
(.f64 (.f64 (.f64 M D) (.f64 M D)) h)
(.f64 (.f64 M D) (*.f64 M D))
(*.f64 M D)
M
D
h
(.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)
(.f64 (.f64 d d) #s(literal -4 binary64))
(*.f64 d d)
d
#s(literal -4 binary64)
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))
(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 D d)
D
d
(.f64 (.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
M
#s(literal 1/4 binary64)
#s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l)))))
(neg.f64 (.f64 D (/.f64 h (.f64 d l))))
(.f64 D (/.f64 h (.f64 d l)))
(/.f64 h (*.f64 d l))
h
(*.f64 d l)
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64)))
(.f64 (.f64 (.f64 M D) (.f64 M D)) h)
(.f64 (.f64 M D) (*.f64 M D))
(*.f64 M D)
M
D
h
(.f64 (.f64 d d) #s(literal -4 binary64))
(*.f64 d d)
d
#s(literal -4 binary64)
(/.f64 #s(literal 1 binary64) l)
#s(literal 1 binary64)
l

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (.f64 M h)) (/.f64 (neg.f64 (.f64 D M)) (.f64 (.f64 (*.f64 d d) #s(literal 4 binary64)) l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 D (.f64 M h)) (/.f64 (neg.f64 (.f64 D M)) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (.f64 D (.f64 M h)) (/.f64 (neg.f64 (.f64 D M)) (.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) l)) #s(literal 1 binary64))
(/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d))
(.f64 D (.f64 M h))
D
(*.f64 M h)
M
h
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))))
(/.f64 (.f64 D M) (.f64 l (*.f64 d #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) l)
#s(literal -1 binary64)
l
(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d))
(/.f64 D (*.f64 #s(literal 2 binary64) d))
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (.f64 w0 (.f64 M (.f64 M h)))) (/.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 d d))) w0))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(fma.f64 (.f64 (.f64 D D) (.f64 w0 (.f64 M (.f64 M h)))) (/.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 d d))) w0)
(*.f64 D D)
D
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
(/.f64 (.f64 w0 (.f64 (.f64 M (.f64 h #s(literal -1/8 binary64))) M)) (.f64 l (.f64 d d)))
(.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0))))
(.f64 w0 (.f64 (.f64 M (.f64 h #s(literal -1/8 binary64))) M))
#s(literal -1/8 binary64)
(.f64 h (.f64 M (*.f64 M w0)))
(.f64 w0 (.f64 M (*.f64 M h)))
h
(.f64 M (.f64 M w0))
(.f64 w0 (.f64 M M))
M
(*.f64 M w0)
(*.f64 w0 M)
w0
(.f64 (.f64 d d) l)
(.f64 l (.f64 d d))
(*.f64 d d)
d
l
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 D (/.f64 (.f64 M (.f64 D (.f64 M h))) (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
w0
(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 D (/.f64 (.f64 M (.f64 D (.f64 M h))) (.f64 d (.f64 d (.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))
(fma.f64 D (/.f64 (.f64 M (.f64 D (.f64 M h))) (.f64 d (.f64 d (.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l))
(/.f64 (.f64 D (.f64 M (.f64 D (.f64 M h)))) (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64)))))
(.f64 (.f64 (.f64 M D) (.f64 M D)) h)
(.f64 D (.f64 M (.f64 D (.f64 M h))))
(.f64 (.f64 M D) (*.f64 M D))
(.f64 D (.f64 D (*.f64 M M)))
(*.f64 M D)
(*.f64 D M)
M
D
h
(.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)
(.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))
(.f64 (.f64 d d) #s(literal -4 binary64))
(.f64 d (.f64 d #s(literal -4 binary64)))
(*.f64 d d)
d
#s(literal -4 binary64)
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D (.f64 M M)) d)) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 h (/.f64 D (.f64 d l))))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D (.f64 M M)) d)) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 h (/.f64 D (.f64 d l))))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D (.f64 M M)) d)) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 h (/.f64 D (.f64 d l))))) #s(literal 1 binary64))
(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D (*.f64 M M)) d))
(/.f64 D d)
D
d
(.f64 (.f64 M M) #s(literal 1/4 binary64))
(*.f64 M M)
M
#s(literal 1/4 binary64)
#s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l)))))
#s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 h (/.f64 D (.f64 d l)))))
(neg.f64 (.f64 D (/.f64 h (.f64 d l))))
(neg.f64 (.f64 h (/.f64 D (.f64 d l))))
(.f64 D (/.f64 h (.f64 d l)))
(.f64 h (/.f64 D (.f64 d l)))
(/.f64 h (*.f64 d l))
h
(*.f64 d l)
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 D (/.f64 (.f64 M (.f64 D (.f64 M h))) (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 D (/.f64 (.f64 M (.f64 D (.f64 M h))) (.f64 d (.f64 d (.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))
(fma.f64 D (/.f64 (.f64 M (.f64 D (.f64 M h))) (.f64 d (.f64 d (.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64)))
(.f64 (.f64 M h) (/.f64 (.f64 D (.f64 D M)) (.f64 d (.f64 d #s(literal -4 binary64)))))
(.f64 (.f64 (.f64 M D) (.f64 M D)) h)
(.f64 D (.f64 M (.f64 D (.f64 M h))))
(.f64 (.f64 M D) (*.f64 M D))
(.f64 D (.f64 D (*.f64 M M)))
(*.f64 M D)
(*.f64 D M)
M
D
h
(.f64 (.f64 d d) #s(literal -4 binary64))
(.f64 d (.f64 d #s(literal -4 binary64)))
(*.f64 d d)
d
#s(literal -4 binary64)
(/.f64 #s(literal 1 binary64) l)
#s(literal 1 binary64)
l

localize296.0ms (1.6%)

Memory

10.4MiB live, 324.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.6608205977535735	(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))
accuracy	5.5846452842992536	(.f64 (.f64 (.f64 M D) (.f64 M D)) h)
accuracy	5.89674821344114	(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)))
accuracy	14.08050179683799	(/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64)))
accuracy	5.773849556727337	(/.f64 h (*.f64 d l))
accuracy	5.89674821344114	(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64)))
accuracy	6.860989110661732	(.f64 D (/.f64 h (.f64 d l)))
accuracy	10.473767405522151	(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
accuracy	5.5846452842992536	(.f64 (.f64 (.f64 M D) (.f64 M D)) h)
accuracy	5.89674821344114	(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)))
accuracy	7.299586790743262	(.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)
accuracy	17.10289297967182	(/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l))
accuracy	7.637898976915278	(.f64 h (.f64 M (*.f64 M w0)))
accuracy	12.390771793551838	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
accuracy	12.98985456878194	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
accuracy	13.589187677147217	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
accuracy	4.452570468114588	(/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d))
accuracy	4.667002010188686	(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
accuracy	5.89674821344114	(sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
accuracy	6.4228968948836815	(.f64 D (.f64 M h))

Samples

214.0ms

256×

valid

Compiler

Compiled 589 to 72 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-div: 114.0ms (63.1% of total)

ival-mult: 44.0ms (24.3% of total)

ival-add: 8.0ms (4.4% of total)

ival-sqrt: 8.0ms (4.4% of total)

ival-neg: 2.0ms (1.1% of total)

ival-pow2: 2.0ms (1.1% of total)

ival-sub: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series233.0ms (1.2%)

Memory

16.0MiB live, 211.5MiB allocated

Counts

28 → 1 476

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) (patch (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l)) w0)) (patch #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l)) w0) (patch (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l)) w0) #<representation binary64>) () ())
#s(alt (.f64 D D) (patch (.f64 D D) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l)) (patch (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) (patch (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (patch (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (patch (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())
#s(alt (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) (patch (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())
#s(alt (.f64 h (.f64 M (.f64 M w0))) (patch (.f64 h (.f64 M (.f64 M w0))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l) (patch (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (patch (.f64 (.f64 (.f64 M D) (.f64 M D)) h) #<representation binary64>) () ())
#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())
#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 l) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) (patch (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 l) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) (patch (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 l) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) (patch (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor 0 l) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) (patch (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf l) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) (patch (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf l) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) (patch (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf l) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) (patch (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor inf l) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) (patch (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf l) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) (patch (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* D M) (* d l))) (taylor -inf l) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) (patch (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* D h) (* d l)) (taylor inf D) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf D) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf D) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf D) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf D) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor 0 h) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor 0 h) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor 0 h) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor 0 h) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor inf h) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor inf h) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor inf h) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor inf h) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf h) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf h) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf h) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf h) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor 0 d) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor 0 d) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor 0 d) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor 0 d) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor inf d) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor inf d) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor inf d) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor inf d) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf d) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf d) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf d) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf d) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor 0 l) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor 0 l) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor 0 l) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor 0 l) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor inf l) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor inf l) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor inf l) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor inf l) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf l) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf l) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf l) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ (* D h) (* d l)) (taylor -inf l) (#s(alt (.f64 D (/.f64 h (.f64 d l))) (patch (.f64 D (/.f64 h (.f64 d l))) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor 0 h) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor 0 h) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor 0 h) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor 0 h) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor inf h) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor inf h) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor inf h) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor inf h) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor -inf h) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor -inf h) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor -inf h) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor -inf h) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor 0 d) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor 0 d) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor 0 d) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor 0 d) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor inf d) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor inf d) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor inf d) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor inf d) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor -inf d) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor -inf d) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor -inf d) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor -inf d) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor 0 l) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor 0 l) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor 0 l) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor 0 l) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor inf l) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor inf l) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor inf l) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor inf l) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor -inf l) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor -inf l) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor -inf l) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())
#s(alt (/ h (* d l)) (taylor -inf l) (#s(alt (/.f64 h (.f64 d l)) (patch (/.f64 h (.f64 d l)) #<representation binary64>) () ())) ())

Calls

369 calls:

Time	Variable		Point	Expression
74.0ms	M	@	-inf	(+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0)
16.0ms	D	@	0	(/ (* (* (* M D) (* M D)) h) (* (* d d) -4))
1.0ms	w0	@	0	(+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0)
1.0ms	h	@	0	(/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))
1.0ms	M	@	0	(/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))

simplify442.0ms (2.4%)

Memory

-13.9MiB live, 653.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 388×	`lower-*.f64`
8 388×	`lower-*.f32`
6 678×	`lower-fma.f64`
6 678×	`lower-fma.f32`
4 570×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	671	35546
1	2321	35378
0	8355	34346

Stop Event

1×	iter limit
1×	node limit

Counts

1 476 → 1 434

Calls

Call 1

Inputs
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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1
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1
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
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1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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1
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
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(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
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(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(* (pow D 2) (* (pow M 2) h))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ (* D h) (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))
(/ h (* d l))

Outputs
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 l (*.f64 d d)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 l (*.f64 d d)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 l (*.f64 d d)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 l (*.f64 d d)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 l (*.f64 d d)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 l (*.f64 d d)))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 l (.f64 d d))) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h)) (neg.f64 h))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 l (.f64 d d))) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h)) (neg.f64 h))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 D M) (.f64 D M)) (.f64 l (.f64 d d))) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h)) (neg.f64 h))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 D D)) (.f64 l (*.f64 d d)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l) (.f64 d d)) (.f64 d d))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l) (.f64 d d)) (.f64 d d))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) l) (.f64 d d)) (.f64 d d))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 l (.f64 d d))) #s(literal 1 binary64))
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(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 D M)) (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (neg.f64 d))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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w0
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(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (*.f64 d d))) w0)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 D M)) (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 D M)) (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) d)
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
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(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* 1/2 (/ (* D (* M h)) d))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 D (*.f64 M h))) d)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* (pow M 2) (* h w0))
(.f64 (.f64 (*.f64 M M) h) w0)
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 l (*.f64 d d)) #s(literal -4 binary64))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(* (pow D 2) (* (pow M 2) h))
(.f64 (.f64 D D) (.f64 (.f64 M M) h))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ (* D h) (* d l))
(/.f64 (.f64 D h) (.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))
(/ h (* d l))
(/.f64 h (*.f64 d l))

rewrite284.0ms (1.5%)

Memory

13.6MiB live, 437.1MiB allocated

Rules

4 704×	`lower-*.f32`
4 654×	`lower-*.f64`
4 534×	`lower-/.f32`
4 516×	`lower-/.f64`
3 012×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	468
0	119	447
1	408	443
2	3142	427
0	8857	421

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

28 → 1 023

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))))
(fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(*.f64 D D)
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
(+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))
(.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 d d) #s(literal -4 binary64)))
(.f64 D (.f64 M h))
(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d))
(.f64 h (.f64 M (*.f64 M w0)))
(.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)
(.f64 (.f64 (.f64 M D) (.f64 M D)) h)
(.f64 D (/.f64 h (.f64 d l)))
(/.f64 h (*.f64 d l))

Outputs
(/.f64 #s(literal -1 binary64) (.f64 l (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) l))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (neg.f64 l) (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 l #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) (neg.f64 l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D)) (.f64 l #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (neg.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))))))
(/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 l) (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 l #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) (neg.f64 l)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D)) (.f64 l #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 l (neg.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 l (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) l)))
(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (neg.f64 l))
(/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (*.f64 l #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) l) (neg.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D))))
(/.f64 (neg.f64 (.f64 M D)) (.f64 l (*.f64 #s(literal 2 binary64) d)))
(/.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l) (/.f64 (.f64 #s(literal 2 binary64) d) D))
(/.f64 (neg.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) l)
(/.f64 (neg.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) (neg.f64 (*.f64 l #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 M D))) (.f64 l (.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 l d))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 M D)) (.f64 (neg.f64 l) (.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 M D)) (.f64 (.f64 l #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 M D))) (.f64 (neg.f64 l) (.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 M D))) (.f64 (.f64 l #s(literal -1 binary64)) (*.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (neg.f64 (.f64 l d)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (*.f64 l #s(literal -1 binary64)) d))
(/.f64 (.f64 (.f64 M D) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) d) l))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) d) (neg.f64 l)))
(/.f64 (.f64 (.f64 M D) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) d) (*.f64 l #s(literal -1 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 M D)) #s(literal -1 binary64)) (.f64 (.f64 d #s(literal -2 binary64)) l))
(/.f64 (.f64 (neg.f64 (.f64 M D)) #s(literal 1 binary64)) (.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 l)))
(/.f64 (.f64 (neg.f64 (.f64 M D)) #s(literal 1 binary64)) (.f64 (.f64 d #s(literal -2 binary64)) (*.f64 l #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 l d))
(/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 (.f64 l d)))
(/.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 d (*.f64 l #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 M D))) (neg.f64 (.f64 l (*.f64 #s(literal 2 binary64) d))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M D)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l) D) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (neg.f64 l))
(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (.f64 l #s(literal -1 binary64)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) l) (neg.f64 (.f64 M D))) (*.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (*.f64 D #s(literal 1/2 binary64)))) d)
(/.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) d) D))
(/.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l) (neg.f64 D)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l) (*.f64 D #s(literal 1/2 binary64))) d)
(/.f64 (.f64 (.f64 M D) (/.f64 #s(literal -1 binary64) l)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (neg.f64 (.f64 M D)) (/.f64 #s(literal -1 binary64) l)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) l)) d)
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 M D)))) (neg.f64 (.f64 l (.f64 d #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (.f64 M (.f64 D #s(literal 1/2 binary64))))) (neg.f64 (.f64 l d)))
(/.f64 (neg.f64 (.f64 (.f64 M D) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) d) (neg.f64 l))))
(/.f64 (neg.f64 (.f64 (.f64 M D) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) d) (*.f64 l #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 M D))) (neg.f64 (.f64 (neg.f64 l) (.f64 #s(literal 2 binary64) d))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 M D))) (neg.f64 (.f64 (.f64 l #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) d))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 M D)))) (neg.f64 (.f64 (neg.f64 l) (.f64 d #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 M D)))) (neg.f64 (.f64 (.f64 l #s(literal -1 binary64)) (*.f64 d #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 M (.f64 D #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (.f64 l d))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 M (.f64 D #s(literal 1/2 binary64))))) (neg.f64 (.f64 (*.f64 l #s(literal -1 binary64)) d)))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 M D)) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 d #s(literal -2 binary64)) (neg.f64 l))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 M D)) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 d #s(literal -2 binary64)) (*.f64 l #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (neg.f64 (.f64 l d))))
(/.f64 (neg.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 d (*.f64 l #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))) (neg.f64 (.f64 l #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l)) (neg.f64 (/.f64 (.f64 #s(literal 2 binary64) d) D)))
(/.f64 (neg.f64 (.f64 (.f64 M D) #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) d) l)))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 M D)) #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 d #s(literal -2 binary64)) l)))
(/.f64 (neg.f64 (.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) #s(literal -1 binary64))) (neg.f64 (.f64 l d)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M D))) (*.f64 d #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l) D)) (*.f64 d #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) l) (neg.f64 (.f64 M D)))) (neg.f64 (*.f64 d #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (*.f64 D #s(literal 1/2 binary64))))) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) D)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l) (neg.f64 D))) (neg.f64 (*.f64 d #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l) (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 d))
(/.f64 (neg.f64 (.f64 (.f64 M D) (/.f64 #s(literal -1 binary64) l))) (*.f64 d #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 M D)) (/.f64 #s(literal -1 binary64) l))) (neg.f64 (*.f64 d #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) l))) (neg.f64 d))
(pow.f64 (.f64 (neg.f64 l) (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 l #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (*.f64 M D)) (neg.f64 l)) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M D)) (.f64 l #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 l (neg.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))))
(.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) l))
(.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)))
(.f64 M (.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal -1 binary64) l)))
(.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) (/.f64 (*.f64 #s(literal -1 binary64) M) l))
(.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal -1 binary64) l))
(.f64 (.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal -1 binary64) l)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) (/.f64 #s(literal -1 binary64) l)))
(.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l) (/.f64 D (*.f64 #s(literal 2 binary64) d)))
(.f64 (neg.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d))) (/.f64 #s(literal 1 binary64) l))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 D (*.f64 #s(literal 2 binary64) d))) M)
(.f64 (.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d))
(.f64 (.f64 (/.f64 (*.f64 #s(literal -1 binary64) M) l) D) (/.f64 #s(literal 1/2 binary64) d))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D h)) (neg.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)))) (.f64 (*.f64 #s(literal 2 binary64) d) l)))
(+.f64 (/.f64 (.f64 (.f64 M (.f64 D h)) (neg.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)))) (.f64 (*.f64 #s(literal 2 binary64) d) l)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 D (.f64 (.f64 M h) (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d))))) (.f64 D (.f64 (.f64 M h) (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d)))))) (.f64 (.f64 #s(literal 2 binary64) d) (.f64 #s(literal 2 binary64) d))) (fma.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d))) (/.f64 (.f64 M (.f64 D h)) (.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d))) (/.f64 (.f64 M (.f64 D h)) (.f64 #s(literal 2 binary64) d)) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) l) (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 M (.f64 D h)) (.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))
(fma.f64 D (.f64 (/.f64 (.f64 M h) (.f64 #s(literal 2 binary64) d)) (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d))) (/.f64 (.f64 M (.f64 D h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 (.f64 M (.f64 D h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 M (.f64 D h)) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (.f64 M (.f64 D h)) (/.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M (.f64 D h)) (.f64 #s(literal 2 binary64) d)) (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M (.f64 D h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 l (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 D h)) (neg.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)))) (.f64 (*.f64 #s(literal 2 binary64) d) l)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 (.f64 M (.f64 D h)) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) d) l)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 M (.f64 D h)) (neg.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)))) (.f64 (*.f64 #s(literal 2 binary64) d) l)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 D #s(literal 1/2 binary64)) (.f64 (/.f64 (.f64 M h) d) (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l) (.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 M (.f64 D h)) (.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 M (.f64 D h)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) d) l)) (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 M (.f64 D h)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) d) l)) (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 D (.f64 (.f64 M h) (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d))))) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 M h) (.f64 D #s(literal 1/2 binary64))) (/.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d))) d) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M (.f64 D h)) d) (/.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 l (*.f64 #s(literal 2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d))) D) (/.f64 (.f64 M h) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 D #s(literal 1/2 binary64))) (/.f64 (.f64 M h) d) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 M (.f64 D h)) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 M (.f64 D h)) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 #s(literal -1 binary64) M) l)) (/.f64 D (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D h)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) d) l)) M) (/.f64 D (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 M (.f64 D h)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) d) l)) (/.f64 D (*.f64 #s(literal 2 binary64) d))) M #s(literal 1 binary64))
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(.f64 (/.f64 #s(literal 1 binary64) (.f64 l d)) h)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 l d)) (pow.f64 (/.f64 #s(literal 1 binary64) h) #s(literal -1 binary64)))
(*.f64 (/.f64 h d) (/.f64 #s(literal 1 binary64) l))

eval305.0ms (1.6%)

Memory: 11.3MiB live, 517.1MiB allocated
Compiler: Compiled 81 589 to 5 056 computations (93.8% saved)

prune1.0s (5.5%)

Memory

-1.5MiB live, 640.7MiB allocated

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	2 489	23	2 512
Fresh	10	15	25
Picked	3	2	5
Done	0	1	1
Total	2 502	41	2 543

Accuracy

91.1%

Counts

2 543 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.5%	(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))) w0)
	69.3%	(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
✓	70.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))))
	77.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal 1/4 binary64) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 l d)))))) #s(literal 1 binary64))))
▶	82.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
	72.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 D h)) l) #s(literal 1 binary64))))
	84.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (*.f64 (neg.f64 l) #s(literal 2 binary64)) d))) #s(literal 1 binary64))))
	83.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(approx (/ (/ ( (* M D) h) (* 2 d)) (neg l)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 h (.f64 D M))) (.f64 d l))) #s(literal 1 binary64))))
	68.1%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
	80.4%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 (.f64 (neg.f64 l) #s(literal 2 binary64)) d)) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))))
	83.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l) (*.f64 D #s(literal 1/2 binary64))) d) #s(literal 1 binary64))))
	74.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) d) (/.f64 (/.f64 h l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))))
	66.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M #s(literal 1/4 binary64)) (.f64 d d)) (neg.f64 (.f64 (.f64 M D) D))) (/.f64 h l) #s(literal 1 binary64))))
	81.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (neg.f64 M)) d) (/.f64 (.f64 M D) (*.f64 d #s(literal 4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
▶	86.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
	69.7%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))))
	72.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
	68.2%	(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
	71.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -2 binary64))) (.f64 (/.f64 l h) (*.f64 d #s(literal -2 binary64)))))))
	74.6%	(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (/.f64 h l)) d) (.f64 d #s(literal -4 binary64))) #s(literal 1 binary64))))
	68.2%	(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
▶	63.8%	(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
	59.0%	(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
	13.9%	(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
	54.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	56.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
✓	69.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	68.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
	60.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
	54.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
	56.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
	56.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
✓	54.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
	56.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
▶	59.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
	60.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
	56.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
	33.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 l (.f64 d d)) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))))) #s(literal -1 binary64))) w0))
	54.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (exp.f64 (.f64 (log.f64 D) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
	53.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
▶	11.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))

Compiler

Compiled 2 208 to 1 412 computations (36.1% saved)

simplify219.0ms (1.2%)

Memory

39.8MiB live, 152.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
cost-diff	704	(fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l))
cost-diff	0	(sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
cost-diff	128	(+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))
cost-diff	0	(*.f64 D D)
cost-diff	0	(fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0)
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
cost-diff	384	(.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (*.f64 l d)))
cost-diff	0	(*.f64 D D)
cost-diff	0	(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))
cost-diff	0	#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d)))))
cost-diff	0	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
cost-diff	0	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
cost-diff	704	(.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))))
cost-diff	704	(fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))

Rules

6 316×	`lower-*.f32`
6 258×	`lower-*.f64`
3 544×	`lower-/.f32`
3 528×	`lower-/.f64`
1 730×	`lower--.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	647
0	128	665
1	293	615
2	1172	592
3	4732	592
4	5432	592
5	7230	592
0	8063	592

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(.f64 (.f64 M h) (/.f64 D (*.f64 #s(literal 2 binary64) d)))
(*.f64 M h)
M
h
(/.f64 D (*.f64 #s(literal 2 binary64) d))
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))))
(/.f64 #s(literal -1 binary64) l)
#s(literal -1 binary64)
l
(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d)))))
(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))
(*.f64 D D)
D
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d)))
(.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0))
#s(literal -1/8 binary64)
(.f64 (.f64 (*.f64 M M) h) w0)
(.f64 (.f64 M M) h)
(*.f64 M M)
M
h
w0
(.f64 l (.f64 d d))
l
(*.f64 d d)
d
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
(fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0)
(*.f64 D D)
D
(.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (*.f64 l d)))
(/.f64 (*.f64 h #s(literal -1/8 binary64)) d)
(*.f64 h #s(literal -1/8 binary64))
h
#s(literal -1/8 binary64)
d
(/.f64 (.f64 M (.f64 M w0)) (*.f64 l d))
(.f64 M (.f64 M w0))
M
(*.f64 M w0)
w0
(*.f64 l d)
l
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))
(/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l))
(.f64 D (.f64 M (.f64 M (.f64 D h))))
D
(.f64 M (.f64 M (*.f64 D h)))
M
(.f64 M (.f64 D h))
(*.f64 D h)
h
(.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)
(.f64 (.f64 d d) #s(literal -4 binary64))
(*.f64 d d)
d
#s(literal -4 binary64)
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))
(*.f64 M D)
M
D
(.f64 l (.f64 d #s(literal -2 binary64)))
l
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
(/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d))
(.f64 D (.f64 M h))
(*.f64 M h)
h
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
#s(literal 1 binary64)

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 M (.f64 h (/.f64 D (.f64 l (.f64 (*.f64 d d) #s(literal -4 binary64)))))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 M D) (.f64 M (.f64 h (/.f64 D (.f64 l (.f64 (.f64 d d) #s(literal -4 binary64)))))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (.f64 M D) (.f64 M (.f64 h (/.f64 D (.f64 l (.f64 (.f64 d d) #s(literal -4 binary64)))))) #s(literal 1 binary64))
(.f64 (.f64 M h) (/.f64 D (*.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 M (.f64 h D)) (*.f64 #s(literal 2 binary64) d))
(*.f64 M h)
M
h
(/.f64 D (*.f64 #s(literal 2 binary64) d))
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))))
(/.f64 (.f64 M D) (.f64 d (*.f64 l #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) l)
#s(literal -1 binary64)
l
(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
(.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d)))
#s(literal 1 binary64)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 w0 (.f64 M (.f64 M h))) (.f64 #s(literal -1/8 binary64) (.f64 D D))) (.f64 d (.f64 d l)))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d)))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 w0 (.f64 M (.f64 M h))) (.f64 #s(literal -1/8 binary64) (.f64 D D))) (.f64 d (.f64 d l))))
(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))
(/.f64 (.f64 (.f64 w0 (.f64 M (.f64 M h))) (.f64 #s(literal -1/8 binary64) (.f64 D D))) (.f64 d (.f64 d l)))
(*.f64 D D)
D
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d)))
(.f64 (.f64 w0 (.f64 M (.f64 M h))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l))))
(.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0))
(.f64 w0 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))))
#s(literal -1/8 binary64)
(.f64 (.f64 (*.f64 M M) h) w0)
(.f64 w0 (.f64 M (*.f64 M h)))
(.f64 (.f64 M M) h)
(.f64 M (.f64 M h))
(*.f64 M M)
M
h
w0
(.f64 l (.f64 d d))
(.f64 d (.f64 d l))
l
(*.f64 d d)
d
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (.f64 w0 (.f64 M (.f64 M h))) (/.f64 #s(literal -1/8 binary64) (.f64 d (*.f64 d l)))) w0))
(fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0)
(fma.f64 (.f64 D D) (.f64 (.f64 w0 (.f64 M (.f64 M h))) (/.f64 #s(literal -1/8 binary64) (.f64 d (*.f64 d l)))) w0)
(*.f64 D D)
D
(.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (*.f64 l d)))
(.f64 (.f64 w0 (.f64 M (.f64 M h))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l))))
(/.f64 (*.f64 h #s(literal -1/8 binary64)) d)
(*.f64 h #s(literal -1/8 binary64))
h
#s(literal -1/8 binary64)
d
(/.f64 (.f64 M (.f64 M w0)) (*.f64 l d))
(/.f64 (.f64 w0 (.f64 M M)) (*.f64 d l))
(.f64 M (.f64 M w0))
(.f64 w0 (.f64 M M))
M
(*.f64 M w0)
(*.f64 w0 M)
w0
(*.f64 l d)
(*.f64 d l)
l
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 M (.f64 h (/.f64 D (.f64 l (.f64 (*.f64 d d) #s(literal -4 binary64)))))) #s(literal 1 binary64))))
w0
(sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 M D) (.f64 M (.f64 h (/.f64 D (.f64 l (.f64 (.f64 d d) #s(literal -4 binary64)))))) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))
(fma.f64 (.f64 M D) (.f64 M (.f64 h (/.f64 D (.f64 l (.f64 (.f64 d d) #s(literal -4 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l))
(.f64 D (.f64 M (.f64 M (.f64 h (/.f64 D (.f64 l (.f64 (*.f64 d d) #s(literal -4 binary64))))))))
(.f64 D (.f64 M (.f64 M (.f64 D h))))
(.f64 (.f64 h D) (.f64 D (.f64 M M)))
D
(.f64 M (.f64 M (*.f64 D h)))
(.f64 M (.f64 M (*.f64 h D)))
M
(.f64 M (.f64 D h))
(.f64 M (.f64 h D))
(*.f64 D h)
(*.f64 h D)
h
(.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)
(.f64 l (.f64 (*.f64 d d) #s(literal -4 binary64)))
(.f64 (.f64 d d) #s(literal -4 binary64))
(*.f64 d d)
d
#s(literal -4 binary64)
l
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 M (.f64 h (/.f64 D (.f64 l (.f64 (*.f64 d d) #s(literal -4 binary64)))))) #s(literal 1 binary64))))
w0
(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (.f64 M D) (.f64 M (.f64 h (/.f64 D (.f64 l (.f64 (.f64 d d) #s(literal -4 binary64)))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(fma.f64 (.f64 M D) (.f64 M (.f64 h (/.f64 D (.f64 l (.f64 (.f64 d d) #s(literal -4 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 M D) (.f64 d (*.f64 l #s(literal -2 binary64))))
(*.f64 M D)
M
D
(.f64 l (.f64 d #s(literal -2 binary64)))
(.f64 d (.f64 l #s(literal -2 binary64)))
l
(*.f64 d #s(literal -2 binary64))
d
#s(literal -2 binary64)
(/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 M (.f64 h D)) (*.f64 #s(literal 2 binary64) d))
(.f64 D (.f64 M h))
(.f64 M (.f64 h D))
(*.f64 M h)
h
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize268.0ms (1.4%)

Memory

0.9MiB live, 274.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.452570468114588	(/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d))
accuracy	5.89674821344114	(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
accuracy	6.4228968948836815	(.f64 D (.f64 M h))
accuracy	8.528765793613895	(/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))
accuracy	5.89674821344114	(sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)))
accuracy	6.04928118766691	(.f64 M (.f64 D h))
accuracy	7.299586790743262	(.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)
accuracy	17.10289297967182	(/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l))
accuracy	7.1632390443976295	(.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (*.f64 l d)))
accuracy	10.851074695282113	(/.f64 (.f64 M (.f64 M w0)) (*.f64 l d))
accuracy	12.390771793551838	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
accuracy	12.98985456878194	(fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0)
accuracy	12.390771793551838	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
accuracy	13.589187677147217	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d)))
accuracy	15.318479360621543	(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))
accuracy	41.88979594592527	#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d)))))
accuracy	4.156745929431963	(.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))))
accuracy	4.667002010188686	(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
accuracy	5.89674821344114	(sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
accuracy	9.87338982590024	(.f64 (.f64 M h) (/.f64 D (*.f64 #s(literal 2 binary64) d)))

Samples

189.0ms

256×

valid

Compiler

Compiled 573 to 76 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 77.0ms (65.9% of total)

ival-div: 24.0ms (20.5% of total)

ival-sqrt: 6.0ms (5.1% of total)

ival-add: 5.0ms (4.3% of total)

ival-pow2: 2.0ms (1.7% of total)

ival-sub: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series110.0ms (0.6%)

Memory

4.0MiB live, 195.5MiB allocated

Counts

27 → 1 500

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) (patch (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d)))))) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))) (patch #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d)))) (patch (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d)))) #<representation binary64>) () ())
#s(alt (.f64 D D) (patch (.f64 D D) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) (patch (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) #<representation binary64>) () ())
#s(alt #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0)) (patch #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0) (patch (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) (patch (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))) (patch (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (patch (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (patch (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) #<representation binary64>) () ())
#s(alt (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) (patch (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))) (patch (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 M (.f64 M w0)) (.f64 l d)) (patch (/.f64 (.f64 M (.f64 M w0)) (.f64 l d)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l) (patch (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l) #<representation binary64>) () ())
#s(alt (.f64 M (.f64 D h)) (patch (.f64 M (.f64 D h)) #<representation binary64>) () ())
#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 M) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 M) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 M) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 M) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf M) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) (taylor inf M) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) (taylor inf M) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) (taylor inf M) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf M) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) (taylor -inf M) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) (taylor -inf M) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) (taylor -inf M) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 h) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf h) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) (taylor inf h) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) (taylor inf h) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) (taylor inf h) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf h) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) (taylor -inf h) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) (taylor -inf h) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) (taylor -inf h) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 D) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 D) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 D) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 D) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf D) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) (taylor inf D) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) (taylor inf D) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) (taylor inf D) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf D) (#s(alt (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* D (* M h)) (taylor 0 M) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 M) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf M) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf M) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf M) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf M) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf M) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf M) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf M) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf M) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 h) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 h) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 h) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor 0 h) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf h) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf h) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf h) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor inf h) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* D (* M h)) (taylor -inf h) (#s(alt (.f64 D (.f64 M h)) (patch (.f64 D (.f64 M h)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf h) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf h) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf h) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf h) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf h) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf h) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf h) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf h) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (patch (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ())

Calls

375 calls:

Time	Variable		Point	Expression
3.0ms	D	@	0	(* (* D D) (/ (* -1/8 (* (* (* M M) h) w0)) (* l (* d d))))
2.0ms	l	@	-inf	(* (/ (* h -1/8) d) (/ (* M (* M w0)) (* l d)))
1.0ms	w0	@	0	(/ (* M (* M w0)) (* l d))
1.0ms	M	@	0	(/ (* M (* M w0)) (* l d))
0.0ms	l	@	0	(/ (* M (* M w0)) (* l d))

simplify388.0ms (2.1%)

Memory

-6.3MiB live, 550.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 368×	`lower-*.f64`
8 368×	`lower-*.f32`
6 678×	`lower-fma.f64`
6 678×	`lower-fma.f32`
4 558×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	666	35129
1	2311	34993
0	8338	34034

Stop Event

1×	iter limit
1×	node limit

Counts

1 500 → 1 451

Calls

Call 1

Inputs
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
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(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* -1/2 (/ (* D M) (* d l)))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
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(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
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1
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(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
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1
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w0
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w0
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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1
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(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(/ (* (pow M 2) w0) (* d l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* -4 (* (pow d 2) l))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* D (* M h))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D D) M) M) (.f64 (.f64 d d) l)) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h)) (neg.f64 h))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D D) M) M) (.f64 (.f64 d d) l)) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h)) (neg.f64 h))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D D) M) M) (.f64 (.f64 d d) l)) #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) h)) (neg.f64 h))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) l) (.f64 d d)) (.f64 d d))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) l) (.f64 d d)) (.f64 d d))
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) l) (.f64 d d)) (.f64 d d))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l))
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) (*.f64 d d)) l) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) (*.f64 d d)) l) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 (.f64 M M) h) (*.f64 d d)) l) l)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 D M)) (*.f64 d l))
(* -1/2 (/ (* D M) (* d l)))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(neg.f64 (.f64 (.f64 (.f64 D M) (/.f64 (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 d w0)) (.f64 (.f64 D D) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)) (/.f64 (.f64 (.f64 M (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d)) (neg.f64 D))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 w0 (.f64 d (.f64 d d))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h))))) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 M (.f64 M M))))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 d w0)) (.f64 (.f64 D D) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)) (/.f64 (.f64 (.f64 M (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d))) (neg.f64 D))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 w0 (.f64 d (.f64 d d))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h))))) (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 M (.f64 M M))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 w0 (pow.f64 d #s(literal 5 binary64))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (.f64 (pow.f64 D #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 d w0)) (.f64 (.f64 D D) (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 l h)) (/.f64 (.f64 (.f64 M (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d)))) (neg.f64 D))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (*.f64 d d) l)) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 D D) h) w0) (.f64 (.f64 d d) l)) (/.f64 (.f64 (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) M) M)) (.f64 w0 (.f64 h h))) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l)))) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (.f64 (.f64 D M) (/.f64 (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 M (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 w0 (.f64 d (.f64 d d))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h))))) (.f64 (.f64 D (.f64 D D)) (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 d w0)) (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) (.f64 M M))) (sqrt.f64 (/.f64 l h)) (/.f64 (.f64 (.f64 D (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(neg.f64 (.f64 (.f64 (.f64 D M) (/.f64 (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 d w0)) (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) (.f64 M M))) (sqrt.f64 (/.f64 l h)) (/.f64 (.f64 (.f64 D (*.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d)) (neg.f64 M))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(neg.f64 (.f64 M (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 w0 (.f64 d (.f64 d d))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h))))) (.f64 (.f64 D (.f64 D D)) (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 d w0)) (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) (.f64 M M))) (sqrt.f64 (/.f64 l h)) (/.f64 (.f64 (.f64 D (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d)))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 w0 (pow.f64 d #s(literal 5 binary64))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (.f64 (.f64 (pow.f64 D #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 M #s(literal 6 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 w0 (.f64 d (.f64 d d))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h))))) (.f64 (.f64 D (.f64 D D)) (.f64 (pow.f64 M #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64)))))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 d w0)) (.f64 (.f64 D (sqrt.f64 #s(literal -1/4 binary64))) (.f64 M M))) (sqrt.f64 (/.f64 l h)) (/.f64 (.f64 (.f64 D (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d)))) (neg.f64 M))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (*.f64 d d) l)) w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) w0) (.f64 (.f64 d d) l)) (/.f64 (.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (.f64 (.f64 h w0) (pow.f64 M #s(literal 4 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l)))) w0)
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 h (fma.f64 h (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 w0 (pow.f64 M #s(literal 4 binary64)))) (.f64 (pow.f64 d #s(literal 4 binary64)) (.f64 l l))) (/.f64 (.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (.f64 (.f64 h (pow.f64 M #s(literal 6 binary64))) w0)) (.f64 (pow.f64 d #s(literal 6 binary64)) (.f64 l (.f64 l l))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) w0)) (.f64 (.f64 d d) l))) w0)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (.f64 (.f64 D M) (/.f64 (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(.f64 h (fma.f64 (.f64 (.f64 D M) (/.f64 (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 d w0)) (.f64 (.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l (.f64 h (.f64 h h)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 h #s(literal 5 binary64)))) (.f64 w0 (.f64 d (.f64 d d)))) (.f64 (.f64 D (.f64 D D)) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1/4 binary64))) (.f64 M (.f64 M M))))) (fma.f64 (.f64 (.f64 D M) (/.f64 (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 d w0)) (.f64 (.f64 D M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l (.f64 h (*.f64 h h))))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
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(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(.f64 (.f64 (.f64 #s(literal -1/2 binary64) D) (/.f64 (.f64 (*.f64 M (sqrt.f64 #s(literal -1 binary64))) w0) d)) (sqrt.f64 (/.f64 h l)))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 l (.f64 h (.f64 h h)))) (/.f64 (.f64 (.f64 d (sqrt.f64 #s(literal -1 binary64))) w0) (.f64 D M)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (.f64 (.f64 M (sqrt.f64 #s(literal -1 binary64))) w0) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (neg.f64 h))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(neg.f64 (.f64 (.f64 (.f64 D M) (/.f64 (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(.f64 (.f64 (.f64 D M) (/.f64 (.f64 w0 (sqrt.f64 #s(literal -1/4 binary64))) d)) (sqrt.f64 (/.f64 h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
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(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
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w0
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(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 (*.f64 d d) l)) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
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(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
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(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* -4 (* (pow d 2) l))
(.f64 (.f64 (*.f64 d d) l) #s(literal -4 binary64))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* D (* M h))
(.f64 D (.f64 M h))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))
(* 1/2 (/ (* D (* M h)) d))
(.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (*.f64 M h) d))

rewrite286.0ms (1.5%)

Memory

7.2MiB live, 478.4MiB allocated

Rules

4 896×	`lower-*.f32`
4 834×	`lower-*.f64`
3 756×	`lower-/.f32`
3 740×	`lower-/.f64`
2 688×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	495
0	128	493
1	455	477
2	3552	466
0	8208	457

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

27 → 866

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d)))))
(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))
(*.f64 D D)
(.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (*.f64 l d)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
(fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0)
(+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64)))
(/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l))
(fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(/.f64 (.f64 M D) (.f64 l (*.f64 d #s(literal -2 binary64))))
(.f64 (.f64 M h) (/.f64 D (*.f64 #s(literal 2 binary64) d)))
(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d)))
(/.f64 (.f64 M (.f64 M w0)) (*.f64 l d))
(.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)) l)
(.f64 M (.f64 D h))
(.f64 D (.f64 M h))
(/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d))

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 M (.f64 h D)) #s(literal 1/2 binary64))) (*.f64 d l)))
(+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 M (.f64 h D)) #s(literal 1/2 binary64))) (*.f64 d l)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 M h) (.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d))) (.f64 d l)) (/.f64 (.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 M (.f64 h D)) #s(literal 1/2 binary64))) (.f64 d l)))) (fma.f64 (.f64 M h) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d))) (.f64 d l)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 M h) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d))) (*.f64 d l)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 M (.f64 h D)) #s(literal 1/2 binary64))) (.f64 d l)))) (/.f64 (.f64 (.f64 M h) (.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d))) (.f64 d l)) (/.f64 (.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 M (.f64 h D)) #s(literal 1/2 binary64))) (.f64 d l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 M (.f64 h D)) #s(literal 1/2 binary64))) (*.f64 d l)))))
(fma.f64 M (.f64 h (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d))) (.f64 d l))) #s(literal 1 binary64))
(fma.f64 M (.f64 (/.f64 (.f64 h D) (.f64 #s(literal 2 binary64) d)) (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 h (.f64 M (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d))) (.f64 d l))) #s(literal 1 binary64))
(fma.f64 (.f64 M h) (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d))) (.f64 d l)) #s(literal 1 binary64))
(fma.f64 (.f64 M h) (.f64 (/.f64 (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d))) (*.f64 d l)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 D (.f64 (/.f64 (.f64 M h) (.f64 #s(literal 2 binary64) d)) (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 M h) (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) l) (.f64 h (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d))) (/.f64 (.f64 M (.f64 h D)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 l (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 (.f64 M (.f64 h D)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (neg.f64 (.f64 M D)) (.f64 #s(literal 2 binary64) d)) (.f64 (.f64 M (.f64 h D)) #s(literal 1/2 binary64))) (*.f64 d l)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 (.f64 M (.f64 h D)) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) d) l)) #s(literal 1 binary64))
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(exp.f64 (.f64 (log.f64 (/.f64 (.f64 d l) (.f64 M (.f64 M w0)))) #s(literal -1 binary64)))
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(.f64 (.f64 M h) D)
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(-.f64 (/.f64 #s(literal 0 binary64) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 M (.f64 h D)) (.f64 d #s(literal -2 binary64))))
(neg.f64 (/.f64 (.f64 M (.f64 h D)) (*.f64 d #s(literal -2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) d) (.f64 M (*.f64 h D))))
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(/.f64 (.f64 D (/.f64 (.f64 M h) d)) #s(literal 2 binary64))
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(.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) (*.f64 M h))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 h D)) (.f64 #s(literal 2 binary64) d)))
(.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) h)
(.f64 (.f64 h D) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))
(.f64 (.f64 h D) (/.f64 M (*.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d)))
(.f64 (.f64 M D) (/.f64 h (*.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 M (*.f64 h D)) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (neg.f64 (.f64 M (.f64 h D))) (/.f64 #s(literal 1 binary64) (.f64 d #s(literal -2 binary64))))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (*.f64 h D) d))
(.f64 (/.f64 D d) (/.f64 (.f64 M h) #s(literal 2 binary64)))
(.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 M h) d))
(.f64 (/.f64 (.f64 M h) d) (*.f64 D #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 M (*.f64 h D)))
(.f64 (/.f64 (.f64 h D) (*.f64 #s(literal 2 binary64) d)) M)
(.f64 (.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 h d))
(.f64 (.f64 (.f64 M (.f64 h D)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) d))
(.f64 (/.f64 (.f64 M h) (*.f64 #s(literal 2 binary64) d)) D)
(.f64 (/.f64 M d) (/.f64 (.f64 h D) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 M D) d) (/.f64 h #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 h D) d) (*.f64 M #s(literal 1/2 binary64)))
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(.f64 (/.f64 (.f64 M h) #s(literal 2 binary64)) (/.f64 D d))

eval270.0ms (1.4%)

Memory: 54.9MiB live, 422.9MiB allocated
Compiler: Compiled 71 371 to 3 657 computations (94.9% saved)

prune745.0ms (4%)

Memory

-10.2MiB live, 1 035.5MiB allocated

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	2 313	22	2 335
Fresh	16	17	33
Picked	3	2	5
Done	2	1	3
Total	2 334	42	2 376

Accuracy

91.1%

Counts

2 376 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.3%	(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
	83.6%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
	77.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal 1/4 binary64) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 l d)))))) #s(literal 1 binary64))))
✓	82.3%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
	82.9%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))))
	72.0%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 h D)) l) #s(literal 1 binary64))))
	68.1%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
	74.8%	(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) d) (/.f64 (/.f64 h l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))))
	74.2%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M (.f64 h D)) (.f64 #s(literal 2 binary64) d)) M) (/.f64 D (.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))))
	66.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M #s(literal 1/4 binary64)) (.f64 d d)) (neg.f64 (.f64 (.f64 M D) D))) (/.f64 h l) #s(literal 1 binary64))))
	81.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (neg.f64 M)) d) (/.f64 (.f64 M D) (*.f64 d #s(literal 4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
✓	86.5%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
	67.0%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h D))) (/.f64 D (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
	72.4%	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
	68.2%	(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
	71.7%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -2 binary64))) (.f64 (/.f64 l h) (*.f64 d #s(literal -2 binary64)))))))
	74.6%	(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (/.f64 h l)) d) (.f64 d #s(literal -4 binary64))) #s(literal 1 binary64))))
	68.2%	(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
	68.0%	(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M h) D))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
	13.5%	(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
	59.0%	(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
	13.9%	(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
	54.0%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
	56.8%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
✓	69.6%	(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
	68.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
	56.2%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
	52.8%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
	12.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
	13.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
	13.3%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
	13.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
	13.0%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
	13.5%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) d) l) d))))
	13.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 M (/.f64 (.f64 M w0) l))) d))))
	12.9%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
	13.7%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
	13.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
	12.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
	12.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
	11.4%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M h) (.f64 (*.f64 M w0) #s(literal -1/8 binary64))))) #s(literal -1 binary64))))))
	11.6%	#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (exp.f64 (.f64 (log.f64 D) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))

Compiler

Compiled 3 273 to 1 280 computations (60.9% saved)

regimes678.0ms (3.6%)

Memory

-97.9MiB live, 526.6MiB allocated

Counts

96 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h D))) (/.f64 D (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 M (/.f64 (.f64 M w0) l))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) d) l) d))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M h) D))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) l) l))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* D (neg M)) D) M) (* (* d d) 4)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 D h)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 h D)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M #s(literal 1/4 binary64)) (.f64 d d)) (neg.f64 (.f64 (.f64 M D) D))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M M)) d) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D h) (.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal 1/4 binary64) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 l d)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) l) (/.f64 #s(literal 1/4 binary64) (.f64 d d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) l) (.f64 d d)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M (.f64 h D)) (.f64 #s(literal 2 binary64) d)) M) (/.f64 D (.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(approx (/ (/ ( (* M D) h) (* 2 d)) (neg l)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 h (.f64 D M))) (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) (.f64 d d)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 (.f64 (neg.f64 l) #s(literal 2 binary64)) d)) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (*.f64 (neg.f64 l) #s(literal 2 binary64)) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (/.f64 h l)) d) (.f64 d #s(literal -4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (neg.f64 M)) d) (/.f64 (.f64 M D) (*.f64 d #s(literal 4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) d) (/.f64 (/.f64 h l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) d) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (/.f64 l h) (.f64 d (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -2 binary64))) (.f64 (/.f64 l h) (*.f64 d #s(literal -2 binary64)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l) (*.f64 D #s(literal 1/2 binary64))) d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 M D) (/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 #s(literal 2 binary64) d)) (/.f64 l h))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) d) (/.f64 M (/.f64 #s(literal 2 binary64) (*.f64 M D)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (/.f64 #s(literal 1 binary64) h))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 M #s(literal 1/2 binary64)) l) (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 D d)) (/.f64 #s(literal 1 binary64) h))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (exp.f64 (.f64 (log.f64 D) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (exp.f64 (.f64 (log.f64 D) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M h) (.f64 (*.f64 M w0) #s(literal -1/8 binary64))))) #s(literal -1 binary64))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 l (.f64 d d)) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))))) #s(literal -1 binary64))) w0))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))

Calls

15 calls:

281.0ms	l
50.0ms	M
33.0ms	D
33.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
32.0ms	h

Results

Accuracy	Segments	Branch
89.2%	1	`w0`
89.2%	1	`M`
89.2%	1	`D`
89.2%	1	`h`
89.2%	1	`l`
89.2%	1	`d`
89.2%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
89.2%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
89.2%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
89.2%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
89.2%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
89.2%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
89.2%	1	`(*.f64 M D)`
89.2%	1	`(*.f64 #s(literal 2 binary64) d)`
89.2%	1	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes402.0ms (2.2%)

Memory

3.6MiB live, 563.6MiB allocated

Counts

89 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h D))) (/.f64 D (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 M (/.f64 (.f64 M w0) l))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) d) l) d))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M h) D))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) l) l))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* D (neg M)) D) M) (* (* d d) 4)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 D h)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 h D)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M #s(literal 1/4 binary64)) (.f64 d d)) (neg.f64 (.f64 (.f64 M D) D))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M M)) d) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D h) (.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal 1/4 binary64) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 l d)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) l) (/.f64 #s(literal 1/4 binary64) (.f64 d d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) l) (.f64 d d)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M (.f64 h D)) (.f64 #s(literal 2 binary64) d)) M) (/.f64 D (.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(approx (/ (/ ( (* M D) h) (* 2 d)) (neg l)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 h (.f64 D M))) (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) (.f64 d d)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 (.f64 (neg.f64 l) #s(literal 2 binary64)) d)) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (*.f64 (neg.f64 l) #s(literal 2 binary64)) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (/.f64 h l)) d) (.f64 d #s(literal -4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (neg.f64 M)) d) (/.f64 (.f64 M D) (*.f64 d #s(literal 4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) d) (/.f64 (/.f64 h l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) d) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (/.f64 l h) (.f64 d (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -2 binary64))) (.f64 (/.f64 l h) (*.f64 d #s(literal -2 binary64)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 (/.f64 (.f64 #s(literal -1 binary64) M) l) (*.f64 D #s(literal 1/2 binary64))) d) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 M D) (/.f64 (/.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 #s(literal 2 binary64) d)) (/.f64 l h))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 (.f64 D #s(literal 1/2 binary64)) d) d) (/.f64 M (/.f64 #s(literal 2 binary64) (*.f64 M D)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (/.f64 (*.f64 (/.f64 D d) D) d) (/.f64 #s(literal 1 binary64) h))))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 M h) (/.f64 D (*.f64 #s(literal 2 binary64) d))) (*.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64))))

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))

Calls

15 calls:

30.0ms	D
29.0ms	w0
27.0ms	M
27.0ms	l
27.0ms	d

Results

Accuracy	Segments	Branch
89.9%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
90.6%	3	`(/.f64 h l)`
86.8%	1	`w0`
88.4%	2	`D`
86.8%	1	`l`
89.9%	3	`h`
89.5%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
89.4%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
89.4%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
89.9%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
88.6%	2	`M`
88.9%	2	`(*.f64 M D)`
89.6%	2	`d`
89.6%	2	`(*.f64 #s(literal 2 binary64) d)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes235.0ms (1.3%)

Memory

5.5MiB live, 316.9MiB allocated

Counts

83 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h D))) (/.f64 D (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 M (/.f64 (.f64 M w0) l))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) d) l) d))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M h) D))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) l) l))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* D (neg M)) D) M) (* (* d d) 4)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 D h)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 h D)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M #s(literal 1/4 binary64)) (.f64 d d)) (neg.f64 (.f64 (.f64 M D) D))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M M)) d) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D h) (.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal 1/4 binary64) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 l d)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) l) (/.f64 #s(literal 1/4 binary64) (.f64 d d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) l) (.f64 d d)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M (.f64 h D)) (.f64 #s(literal 2 binary64) d)) M) (/.f64 D (.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(approx (/ (/ ( (* M D) h) (* 2 d)) (neg l)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 h (.f64 D M))) (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) (.f64 d d)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 (.f64 (neg.f64 l) #s(literal 2 binary64)) d)) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (*.f64 (neg.f64 l) #s(literal 2 binary64)) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (/.f64 h l)) d) (.f64 d #s(literal -4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (neg.f64 M)) d) (/.f64 (.f64 M D) (*.f64 d #s(literal 4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) d) (/.f64 (/.f64 h l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) d) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D #s(literal 1/2 binary64))) (.f64 (/.f64 l h) (.f64 d (.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D)))))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -2 binary64))) (.f64 (/.f64 l h) (*.f64 d #s(literal -2 binary64)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (/.f64 (/.f64 (.f64 (.f64 M D) h) (.f64 #s(literal 2 binary64) d)) (neg.f64 l)) #s(literal 1 binary64))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 M l) D) (*.f64 d #s(literal -2 binary64))) (/.f64 (*.f64 D (*.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64)))) (*.f64 (*.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))))

Calls

9 calls:

55.0ms	d
29.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
23.0ms	(*.f64 M D)
23.0ms	(*.f64 #s(literal 2 binary64) d)
22.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
88.9%	2	`(*.f64 M D)`
86.8%	1	`(/.f64 h l)`
88.7%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.7%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.7%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
88.9%	2	`d`
88.9%	2	`(*.f64 #s(literal 2 binary64) d)`
86.8%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
86.8%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`

Compiler

Compiled 129 to 97 computations (24.8% saved)

regimes170.0ms (0.9%)

Memory

9.3MiB live, 201.0MiB allocated

Counts

78 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h D))) (/.f64 D (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 M (/.f64 (.f64 M w0) l))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) d) l) d))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M h) D))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) l) l))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* D (neg M)) D) M) (* (* d d) 4)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 D h)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 h D)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M #s(literal 1/4 binary64)) (.f64 d d)) (neg.f64 (.f64 (.f64 M D) D))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M M)) d) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D h) (.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal 1/4 binary64) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 l d)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) l) (/.f64 #s(literal 1/4 binary64) (.f64 d d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) l) (.f64 d d)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M (.f64 h D)) (.f64 #s(literal 2 binary64) d)) M) (/.f64 D (.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(approx (/ (/ ( (* M D) h) (* 2 d)) (neg l)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 h (.f64 D M))) (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) (.f64 d d)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 (.f64 (neg.f64 l) #s(literal 2 binary64)) d)) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (*.f64 (neg.f64 l) #s(literal 2 binary64)) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (/.f64 h l)) d) (.f64 d #s(literal -4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (neg.f64 M)) d) (/.f64 (.f64 M D) (*.f64 d #s(literal 4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) d) (/.f64 (/.f64 h l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) d) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 h l))) #s(literal 1 binary64))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64))))

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64)))) (*.f64 (*.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))))

Calls

6 calls:

36.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
34.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
27.0ms	(*.f64 #s(literal 2 binary64) d)
25.0ms	d
20.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Results

Accuracy	Segments	Branch
88.7%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
88.7%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.7%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
88.6%	2	`d`
88.6%	2	`(*.f64 #s(literal 2 binary64) d)`
87.3%	2	`(*.f64 M D)`

Compiler

Compiled 92 to 69 computations (25% saved)

regimes111.0ms (0.6%)

Memory

-18.9MiB live, 115.2MiB allocated

Counts

76 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h D))) (/.f64 D (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 M (/.f64 (.f64 M w0) l))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) d) l) d))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M h) D))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) l) l))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* D (neg M)) D) M) (* (* d d) 4)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 D h)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 h D)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M #s(literal 1/4 binary64)) (.f64 d d)) (neg.f64 (.f64 (.f64 M D) D))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M M)) d) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D h) (.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal 1/4 binary64) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 l d)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) l) (/.f64 #s(literal 1/4 binary64) (.f64 d d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) l) (.f64 d d)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M (.f64 h D)) (.f64 #s(literal 2 binary64) d)) M) (/.f64 D (.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(approx (/ (/ ( (* M D) h) (* 2 d)) (neg l)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 h (.f64 D M))) (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) (.f64 d d)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 (.f64 (neg.f64 l) #s(literal 2 binary64)) d)) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (*.f64 (neg.f64 l) #s(literal 2 binary64)) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (/.f64 h l)) d) (.f64 d #s(literal -4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (neg.f64 M)) d) (/.f64 (.f64 M D) (*.f64 d #s(literal 4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) d) (/.f64 (/.f64 h l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M #s(literal 1/4 binary64))) d) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D (neg.f64 M)) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64)))) (*.f64 (*.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))))

Calls

3 calls:

21.0ms

(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

18.0ms

(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))

16.0ms

(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))

Results

Accuracy	Segments	Branch
88.7%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
88.7%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
88.7%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`

Compiler

Compiled 67 to 48 computations (28.4% saved)

regimes521.0ms (2.8%)

Memory

-13.9MiB live, 533.3MiB allocated

Counts

73 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h D))) (/.f64 D (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 M (/.f64 (.f64 M w0) l))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) d) l) d))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M h) D))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) l) l))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* D (neg M)) D) M) (* (* d d) 4)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 D h)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 h D)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M #s(literal 1/4 binary64)) (.f64 d d)) (neg.f64 (.f64 (.f64 M D) D))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M M)) d) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D h) (.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal 1/4 binary64) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 l d)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) l) (/.f64 #s(literal 1/4 binary64) (.f64 d d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) l) (.f64 d d)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M (.f64 h D)) (.f64 #s(literal 2 binary64) d)) M) (/.f64 D (.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(approx (/ (/ ( (* M D) h) (* 2 d)) (neg l)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 h (.f64 D M))) (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) (.f64 d d)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 (.f64 (neg.f64 l) #s(literal 2 binary64)) d)) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (*.f64 (neg.f64 l) #s(literal 2 binary64)) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (/.f64 h l)) d) (.f64 d #s(literal -4 binary64))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))))

Outputs

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 h (/.f64 (*.f64 M D) (*.f64 (*.f64 (neg.f64 l) #s(literal 2 binary64)) d))) #s(literal 1 binary64))))

Calls

15 calls:

173.0ms	(*.f64 M D)
43.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
35.0ms	(/.f64 h l)
34.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
28.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
87.3%	2	`(*.f64 M D)`
84.6%	1	`l`
86.5%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
84.6%	1	`w0`
87.0%	2	`(/.f64 h l)`
86.2%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
84.6%	1	`h`
87.0%	2	`D`
86.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
86.4%	2	`d`
86.4%	2	`(*.f64 #s(literal 2 binary64) d)`
84.6%	1	`M`
84.6%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
86.9%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
86.9%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes104.0ms (0.6%)

Memory

32.1MiB live, 184.6MiB allocated

Counts

69 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h D))) (/.f64 D (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 M (/.f64 (.f64 M w0) l))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) d) l) d))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M h) D))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) l) l))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* D (neg M)) D) M) (* (* d d) 4)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 D h)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 h D)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M #s(literal 1/4 binary64)) (.f64 d d)) (neg.f64 (.f64 (.f64 M D) D))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M M)) d) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D h) (.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal 1/4 binary64) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 l d)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) l) (/.f64 #s(literal 1/4 binary64) (.f64 d d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) l) (.f64 d d)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M (.f64 h D)) (.f64 #s(literal 2 binary64) d)) M) (/.f64 D (.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(approx (/ (/ ( (* M D) h) (* 2 d)) (neg l)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 h (.f64 D M))) (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (/.f64 (.f64 D (.f64 M h)) (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 h (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (*.f64 d d) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M (.f64 D #s(literal 1/2 binary64)))) (.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) (.f64 d d)))))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 (.f64 (neg.f64 l) #s(literal 2 binary64)) d)) (.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) #s(literal 1 binary64))))

Outputs

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d #s(literal -2 binary64)))) (*.f64 (*.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64))))

Calls

5 calls:

22.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
21.0ms	D
20.0ms	(/.f64 h l)
19.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
18.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
86.8%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
86.8%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
86.5%	2	`D`
86.1%	2	`(/.f64 h l)`
86.8%	2	`(*.f64 M D)`

Compiler

Compiled 68 to 51 computations (25% saved)

regimes325.0ms (1.7%)

Memory

-43.3MiB live, 548.5MiB allocated

Counts

63 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h D))) (/.f64 D (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 M (/.f64 (.f64 M w0) l))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) d) l) d))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M h) D))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) l) l))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* D (neg M)) D) M) (* (* d d) 4)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 D h)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 h D)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M #s(literal 1/4 binary64)) (.f64 d d)) (neg.f64 (.f64 (.f64 M D) D))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M M)) d) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D h) (.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal 1/4 binary64) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 l d)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) l) (/.f64 #s(literal 1/4 binary64) (.f64 d d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) l) (.f64 d d)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M (.f64 h D)) (.f64 #s(literal 2 binary64) d)) M) (/.f64 D (.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(approx (/ (/ ( (* M D) h) (* 2 d)) (neg l)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 h (.f64 D M))) (.f64 d l))) #s(literal 1 binary64))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(approx (/ (/ (* (* M D) h) (* 2 d)) (neg l)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 h (*.f64 D M))) (*.f64 d l))) #s(literal 1 binary64))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

15 calls:

38.0ms	(*.f64 M D)
33.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
29.0ms	M
22.0ms	D
21.0ms	h

Results

Accuracy	Segments	Branch
85.8%	2	`(/.f64 h l)`
83.0%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
83.0%	1	`M`
83.0%	1	`l`
83.0%	1	`w0`
83.0%	1	`h`
85.1%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.0%	1	`d`
83.0%	1	`(*.f64 #s(literal 2 binary64) d)`
85.4%	2	`D`
85.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
85.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
85.8%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
85.8%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
85.8%	2	`(*.f64 M D)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes334.0ms (1.8%)

Memory

25.2MiB live, 461.0MiB allocated

Counts

62 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h D))) (/.f64 D (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 M (/.f64 (.f64 M w0) l))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) d) l) d))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M h) D))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) l) l))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* D (neg M)) D) M) (* (* d d) 4)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 D h)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 h D)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M #s(literal 1/4 binary64)) (.f64 d d)) (neg.f64 (.f64 (.f64 M D) D))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M M)) d) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D h) (.f64 d (neg.f64 l)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal 1/4 binary64) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 l d)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) l) (/.f64 #s(literal 1/4 binary64) (.f64 d d)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 D (neg.f64 M)) D) M) (.f64 (.f64 d d) #s(literal 4 binary64))) l) h #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) l) (.f64 d d)) (.f64 d d)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M (.f64 h D)) (.f64 #s(literal 2 binary64) d)) M) (/.f64 D (.f64 d (*.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 M D)) d) (*.f64 #s(literal 1/4 binary64) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 l d)))))) #s(literal 1 binary64))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

15 calls:

70.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
31.0ms	(/.f64 h l)
30.0ms	(*.f64 M D)
18.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
18.0ms	(*.f64 #s(literal 2 binary64) d)

Results

Accuracy	Segments	Branch
81.3%	3	`l`
82.1%	2	`M`
80.7%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
77.8%	1	`w0`
83.3%	3	`d`
83.3%	3	`(*.f64 #s(literal 2 binary64) d)`
81.3%	3	`h`
83.1%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.1%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
82.2%	2	`D`
83.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
84.0%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
84.0%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
84.7%	3	`(*.f64 M D)`
84.6%	3	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes63.0ms (0.3%)

Memory

-26.4MiB live, 99.2MiB allocated

Counts

55 → 3

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h D))) (/.f64 D (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 M (/.f64 (.f64 M w0) l))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) d) l) d))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M h) D))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) l) l))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* D (neg M)) D) M) (* (* d d) 4)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 D h)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 h D)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 M #s(literal 1/4 binary64)) (.f64 d d)) (neg.f64 (.f64 (.f64 M D) D))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M M)) d) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D h) (.f64 d (neg.f64 l)))) #s(literal 1 binary64))))

Outputs

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)

(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(approx (* (/ D d) (neg (/ h l))) (neg.f64 (*.f64 D (/.f64 h (*.f64 d l))))) #s(literal 1 binary64))))

Calls

4 calls:

18.0ms	(*.f64 M D)
15.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
13.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
12.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
84.7%	3	`(*.f64 M D)`
81.0%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
81.0%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
83.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 56 to 41 computations (26.8% saved)

regimes39.0ms (0.2%)

Memory

4.8MiB live, 41.2MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h D))) (/.f64 D (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 M (/.f64 (.f64 M w0) l))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) d) l) d))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M h) D))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) l) l))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* D (neg M)) D) M) (* (* d d) 4)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 D h)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 h D)) l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal -4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 D (neg.f64 M)) (.f64 D (.f64 M h))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 (.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 (*.f64 d d) #s(literal 4 binary64)))) (/.f64 h l)))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 M D) (*.f64 d (*.f64 d #s(literal -4 binary64)))) (/.f64 (*.f64 M (*.f64 D h)) l) #s(literal 1 binary64))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

2 calls:

23.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
13.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
83.0%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
83.6%	3	`(*.f64 M D)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes54.0ms (0.3%)

Memory

-0.9MiB live, 37.2MiB allocated

Counts

47 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h D))) (/.f64 D (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 M (/.f64 (.f64 M w0) l))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) d) l) d))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M h) D))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) l) l))))
(.f64 w0 (sqrt.f64 (fma.f64 #s(approx (/ ( (* (* D (neg M)) D) M) (* (* d d) 4)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 M M)) (*.f64 d d))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 h l) #s(literal 1 binary64))))

Outputs

(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 l (*.f64 d #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0)

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

2 calls:

41.0ms	(/.f64 h l)
11.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
82.7%	3	`(/.f64 h l)`
82.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes70.0ms (0.4%)

Memory

20.1MiB live, 142.1MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h D))) (/.f64 D (.f64 d (.f64 d (*.f64 l #s(literal -4 binary64))))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 M D) (/.f64 (.f64 M (.f64 D h)) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))) w0)
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 M (/.f64 (.f64 M w0) l))) d))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (/.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) d) l) d))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 M (.f64 D h)))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 D (.f64 M (.f64 (.f64 M h) D))) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 l d) (.f64 d #s(literal -4 binary64)))) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 M D)) h) (.f64 (.f64 (.f64 d d) #s(literal -4 binary64)) l)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 (.f64 (.f64 M D) (.f64 M D))) (/.f64 h (.f64 d (.f64 (*.f64 d #s(literal 4 binary64)) l))) #s(literal 1 binary64))) w0)

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 h (*.f64 l (*.f64 d (*.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

6 calls:

14.0ms	D
13.0ms	M
11.0ms	(*.f64 M D)
10.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
10.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
81.7%	2	`(*.f64 M D)`
79.9%	2	`M`
81.4%	2	`D`
80.7%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
80.7%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
81.8%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 85 to 63 computations (25.9% saved)

regimes67.0ms (0.4%)

Memory

-0.9MiB live, 114.3MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))

Outputs

(*.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 l (*.f64 d (*.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

6 calls:

15.0ms	D
12.0ms	d
11.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
9.0ms	(*.f64 #s(literal 2 binary64) d)
9.0ms	(/.f64 h l)

Results

Accuracy	Segments	Branch
79.3%	2	`(/.f64 h l)`
80.3%	3	`D`
80.9%	3	`(*.f64 M D)`
75.0%	2	`d`
75.0%	2	`(*.f64 #s(literal 2 binary64) d)`
81.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 60 to 47 computations (21.7% saved)

regimes54.0ms (0.3%)

Memory

-8.0MiB live, 103.0MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64)))))

Outputs

(*.f64 w0 (sqrt.f64 #s(approx (+ (* (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M (*.f64 M h))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

6 calls:

10.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
10.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
9.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
8.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
8.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
78.6%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
79.5%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
79.5%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
78.9%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
78.9%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
80.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 114 to 82 computations (28.1% saved)

regimes81.0ms (0.4%)

Memory

20.4MiB live, 101.9MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))
(.f64 w0 (sqrt.f64 #s(approx (+ (/ ( D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (*.f64 d d) l)))))
(.f64 w0 (sqrt.f64 #s(approx (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)))))

Outputs

(*.f64 w0 (sqrt.f64 #s(approx (+ (/ (* D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 D D) M) M) h)) (*.f64 (*.f64 d d) l)))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

6 calls:

33.0ms	l
17.0ms	M
8.0ms	h
7.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
7.0ms	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))

Results

Accuracy	Segments	Branch
78.6%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
78.6%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
69.6%	1	`l`
74.9%	3	`h`
77.6%	2	`M`
79.5%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 83 to 62 computations (25.3% saved)

regimes11.0ms (0.1%)

Memory

-21.1MiB live, 15.9MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 M (.f64 M w0)) (.f64 l d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 M (.f64 M w0)) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 (.f64 D D) (/.f64 #s(literal -1/8 binary64) (.f64 d d))) (.f64 (.f64 M h) (/.f64 (.f64 M w0) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 l d)) w0))
(.f64 w0 (sqrt.f64 #s(approx (+ ( (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 D D)) (.f64 d (*.f64 d l))))))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M (*.f64 h (*.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (*.f64 l d))) w0))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

1 calls:

10.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
79.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (.f64 M (/.f64 (*.f64 M w0) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 (.f64 (.f64 D D) (/.f64 (.f64 h #s(literal -1/8 binary64)) d)) M) (/.f64 (.f64 M w0) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (*.f64 d l)))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (.f64 (/.f64 (.f64 M (.f64 M w0)) (.f64 d l)) (*.f64 D D)))))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (*.f64 d l)) (/.f64 w0 d)))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

1 calls:

5.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
79.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) d) (/.f64 w0 (*.f64 d l))))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

1 calls:

4.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
79.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes55.0ms (0.3%)

Memory

-4.5MiB live, 33.6MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (*.f64 d d) l)) w0)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) w0) (.f64 d (*.f64 d l))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (.f64 D (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (*.f64 d d))) D w0))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64)))) (.f64 l (.f64 d d))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 h (.f64 M w0))) #s(literal 1/8 binary64)) (.f64 d (neg.f64 (*.f64 l d)))) w0))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (neg.f64 (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (neg.f64 (*.f64 l d))))) w0))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) M) M) h) (*.f64 (*.f64 d d) l)) w0)))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

4 calls:

5.0ms	w0
5.0ms	(*.f64 M D)
5.0ms	(/.f64 h l)
4.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
76.7%	2	`(/.f64 h l)`
77.5%	2	`(*.f64 M D)`
72.7%	2	`w0`
79.2%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l))))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) M) M)) (*.f64 h w0)) (*.f64 (*.f64 d d) l))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

1 calls:

2.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
79.1%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes33.0ms (0.2%)

Memory

-37.0MiB live, 16.3MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 h (.f64 M w0))) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l)))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) h) w0)) (.f64 l (.f64 d d))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D (/.f64 (.f64 (.f64 M h) (.f64 (.f64 M w0) #s(literal -1/8 binary64))) (.f64 d (.f64 d l)))) D)))

Outputs

#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (*.f64 (*.f64 D D) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M h))) (/.f64 w0 (*.f64 d (*.f64 d l)))))))

(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

4 calls:

26.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
2.0ms	D
2.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
2.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Results

Accuracy	Segments	Branch
69.6%	1	`D`
77.5%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
77.7%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
78.7%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 54 to 40 computations (25.9% saved)

regimes28.0ms (0.2%)

Memory

3.9MiB live, 42.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Calls

14 calls:

11.0ms	h
1.0ms	w0
1.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms	(*.f64 #s(literal 2 binary64) d)
1.0ms	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))

Results

Accuracy	Segments	Branch
69.6%	1	`D`
69.6%	1	`w0`
69.6%	1	`h`
69.6%	1	`d`
69.6%	1	`(*.f64 #s(literal 2 binary64) d)`
69.6%	1	`(/.f64 h l)`
69.6%	1	`(*.f64 M D)`
69.6%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
69.6%	1	`M`
69.6%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
69.6%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
69.6%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
69.6%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
69.6%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 176 to 134 computations (23.9% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.469577252835308e-30	3.120130289659928e-27

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9942882722179865e-98	1.8617367028285035e-97

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.077586866953752e+292	+inf

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.077586866953752e+292	+inf

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.808964713865051e-261	2.6165977189528155e-258

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.826262164617781e-166	4.0634318968790766e-165

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.0301672231035485e-186	-2.5479300781188305e-189

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1191915436444974e-12	-1.1173684522930558e-19

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0973886916771573e+108	7.094721157711254e+111
0.0ms	1.142398936522935e-161	1.8565827040878408e-153

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1191915436444974e-12	-1.1173684522930558e-19

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1191915436444974e-12	-1.1173684522930558e-19

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1191915436444974e-12	-1.1173684522930558e-19

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1191915436444974e-12	-1.1173684522930558e-19

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.881259045479159e+222	-2.6844193886240263e+211

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.881259045479159e+222	-2.6844193886240263e+211

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.0153886943958114e+165	-6.747800576462874e+117

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.0153886943958114e+165	-6.747800576462874e+117

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.0153886943958114e+165	-6.747800576462874e+117

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.537694188942874e+282	-7.503944322573943e+275

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.537694188942874e+282	-7.503944322573943e+275

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-7.077586866953752e+292

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify59.0ms (0.3%)

Memory

-12.4MiB live, 58.6MiB allocated

Algorithm

1×	egg-herbie

Rules

206×	`*-commutative_binary64`
52×	`neg-sub0_binary64`
52×	`neg-mul-1_binary64`
46×	`+-commutative_binary64`
46×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	1539
1	388	1539
2	431	1539
3	480	1539
4	514	1539
5	537	1539
6	551	1539
7	557	1539
8	560	1539
9	561	1539

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 178405961588245/44601490397061246283071436545296723011960832 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (.f64 M h) (/.f64 D (.f64 #s(literal 2 binary64) d))) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 M D) #s(literal 6156563468186637/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 M l) D) (.f64 d #s(literal -2 binary64))) (/.f64 (.f64 D (.f64 M h)) (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 M D) (.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 M D) (.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 D (neg.f64 M)) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64)))) (/.f64 h l) #s(literal 1 binary64)))) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 M D) #s(literal 5539569662801113/1107913932560222642718302084617242634394213707491304322373697056856707228094640652496493097019312046907692196808899173923175472949106175979816042319761510659592576951121881510274623639758153063707231876091920910184135845830200523203728421733043088080742988814006853038686339072 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) (.f64 h (/.f64 (.f64 M D) (.f64 (*.f64 (neg.f64 l) #s(literal 2 binary64)) d))) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 M D) #s(literal 4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 l (.f64 d #s(literal -2 binary64)))) (.f64 (.f64 M D) (*.f64 h (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 h l) #s(literal -2449441655328671/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(approx (/ (/ ( (* M D) h) (* 2 d)) (neg l)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 h (.f64 D M))) (.f64 d l))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal 1/4 binary64) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 l d)))))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 M D) #s(literal 5065326622169181/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264 binary64)) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (if (<=.f64 (.f64 M D) #s(literal 2000000000000000067997983426005649189887949439425796095426861429675750543446401666585483232761466891842617344 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(approx ( (/ D d) (neg (/ h l))) (neg.f64 (.f64 D (/.f64 h (.f64 d l))))) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 M D) (.f64 d (.f64 d #s(literal -4 binary64)))) (/.f64 (.f64 M (.f64 D h)) l) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) d))) h #s(literal 1 binary64))) w0) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 h (.f64 l (.f64 d (.f64 d #s(literal -4 binary64)))))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) (.f64 w0 (sqrt.f64 (fma.f64 h (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 l (.f64 d (.f64 d #s(literal -4 binary64))))) #s(literal 1 binary64)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000233009035874103487842025429049746884307104902290093413906615431497863838561070978561605169882979927449326586308330034490456803110487463217202937150636836581109497436029475276191632298678857801213921774796800 binary64)) (.f64 w0 (sqrt.f64 #s(approx (+ (* (/ (/ (* M D) (* d -2)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h))) 1) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M h))) (.f64 d (.f64 d l))) #s(literal 1 binary64))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -5000000000000000233009035874103487842025429049746884307104902290093413906615431497863838561070978561605169882979927449326586308330034490456803110487463217202937150636836581109497436029475276191632298678857801213921774796800 binary64)) (.f64 w0 (sqrt.f64 #s(approx (+ (/ (* D (* M (* M (* D h)))) (* (* (* d d) -4) l)) 1) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 (.f64 D D) M) M) h)) (.f64 (.f64 d d) l))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999702036380252676291511991648050427649115224884571969151128330931919089800127025975284687273696257534178886563745342824774058569857985872573620757200896 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 M w0))) d) (/.f64 #s(literal -1/8 binary64) (.f64 l d))) w0)) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999702036380252676291511991648050427649115224884571969151128330931919089800127025975284687273696257534178886563745342824774058569857985872573620757200896 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d l)) (/.f64 w0 d))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999702036380252676291511991648050427649115224884571969151128330931919089800127025975284687273696257534178886563745342824774058569857985872573620757200896 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (.f64 d l)))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (.f64 d d) l)) w0))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l))))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

Outputs
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal -2 binary64))) l) (/.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #s(literal 1 binary64))))
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(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -4999999999999999702036380252676291511991648050427649115224884571969151128330931919089800127025975284687273696257534178886563745342824774058569857985872573620757200896 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 M (.f64 h (.f64 w0 M))) d) (/.f64 #s(literal -1/8 binary64) (.f64 d l))) w0)) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999702036380252676291511991648050427649115224884571969151128330931919089800127025975284687273696257534178886563745342824774058569857985872573620757200896 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 d l)) (/.f64 w0 d))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -4999999999999999702036380252676291511991648050427649115224884571969151128330931919089800127025975284687273696257534178886563745342824774058569857985872573620757200896 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 (.f64 M (.f64 M h)) #s(literal -1/8 binary64)) (.f64 d l)) (/.f64 w0 d))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999702036380252676291511991648050427649115224884571969151128330931919089800127025975284687273696257534178886563745342824774058569857985872573620757200896 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) d) (/.f64 w0 (.f64 d l)))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -4999999999999999702036380252676291511991648050427649115224884571969151128330931919089800127025975284687273696257534178886563745342824774058569857985872573620757200896 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 (.f64 M (.f64 M h)) #s(literal -1/8 binary64)) d) (/.f64 w0 (.f64 d l)))))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 D D) M) M) h) (.f64 (.f64 d d) l)) w0))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (fma.f64 (.f64 w0 #s(literal -1/8 binary64)) (/.f64 (.f64 h (.f64 M (.f64 M (.f64 D D)))) (.f64 l (.f64 d d))) w0))) (.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D D) M) M)) (.f64 h w0)) (.f64 (.f64 d d) l)))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (/.f64 (.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal -1/8 binary64)) (.f64 w0 h)) (.f64 l (.f64 d d))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (/.f64 w0 (.f64 d (.f64 d l))))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -inf.0 binary64)) #s(approx ( w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0) (.f64 (.f64 D D) (.f64 (.f64 (.f64 M (.f64 M h)) #s(literal -1/8 binary64)) (/.f64 w0 (.f64 d (.f64 d l))))))) (.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(.f64 w0 #s(approx (sqrt (- 1 ( (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))

soundness2.4s (12.6%)

Memory

46.8MiB live, 2 298.5MiB allocated

Rules

10 592×	`lower-*.f64`
10 592×	`lower-*.f32`
10 384×	`lower-*.f64`
10 384×	`lower-*.f32`
8 912×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	671	35546
1	2321	35378
0	8355	34346
0	666	35129
1	2311	34993
0	8338	34034
0	628	8158
1	2189	8136
0	8486	7930
0	80	495
0	128	493
1	455	477
2	3552	466
0	8208	457
0	59	389
0	101	382
1	356	335
2	3488	321
0	8630	321
0	647	34758
1	2252	34558
0	8103	33498
0	17	78
0	26	78
1	82	78
2	550	78
3	7073	78
0	8661	78
0	71	468
0	119	447
1	408	443
2	3142	427
0	8857	421

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 2 927 to 1 477 computations (49.5% saved)

preprocess373.0ms (2%)

Memory: 10.8MiB live, 404.6MiB allocated
Remove: (negabs w0)
Compiler: Compiled 4 300 to 1 622 computations (62.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated